x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.

Answers

Answer 1

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.


Related Questions

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Answers

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

Answers

Answer:

4x + 7y = 3365

x + y = 578

x = matinees

y = regular

Step-by-step explanation:

Given

$4 = matinees

$7 = regular

Total tickets = 578

Money collected = $3365

If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;

4x + 7y = 3365

x + y = 578

Solving the system;

Multiply the second equation by (-4)

4x + 7y = 3365

-4x - 4y = -2312

Add the equations

4x + 7y = 3365

-4x -4y = -2312

3y = 1053

Inverse operations

3y = 1053

/3        /3

y = 351

x = 227

Find the equation of the line shown

Answers

Step-by-step explanation:

at 3=3

at 0=9

at 4=1

[tex]y = ax + b[/tex]

[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]

Answer:

y=-2x+9

Step-by-step explanation:

From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.

So:

0: 9

1:7

2:5

3:3

And the difference of y over the difference of x is the slope

-2/1=-2

So the slope is -2

Therefore, putting the equation together makes:

y=-2x+9

Hope this helps!

Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?

Answers

I believe she swam for 3 3/4 in all.

Answer:

3 3/4

Step-by-step explanation:

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me


Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?

Answers

Answer:

1400/100 x 2.25 = $31.50

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

draw a number line with the solution to :1/4 - 1/2

Answers

1/4 - 1/2 = -1/4 but 1/2 - 1/4 = 1/4

Noah is solving the inequality 7x + 5 > 2x + 35. First, he solves the equation 7x + 5 = 2x +35 and gets x = 6. How does the solution to the equation help Noah to solve the inequality? Explain your reasoning.​

Answers

Answer:

1682

Step-by-step explanation:

because if you add or subtract or divide or times it it will some how show the answer and you will have to take the risk of it being right or nor

Answer:

:)

Step-by-step explanation:

7x+5>2x+35

5x>30

x>6

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon

A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees

Answers


A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:

How to solve this I need it done by tonight please

Answers

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Answers

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

A. ( x + 5)

B. ( x - 5 )

C. ( x + 3 )

D. ( x - 3 )

Answers

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Find the value of x and y.

Answers

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

(2x - 5), (2 +30), and (2x – 5)
Solve for x

Answers

You solve for x it’s your work isn’t it lots

Solve the system of linear equations by elimination,
-y - 10 = 6x
5x +y = -10

Answers

Hey again!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

The solution to the given system of linear equations is (0, -10) which is determined by the elimination method.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations is given in the question:

-y - 10 = 6x    ....(i)

5x +y = -10    ....(ii)

To solve using elimination, we have to add the equations (i) and (ii) together, and the "y" will be eliminated, and then solve the equations:

⇒ 5x - 10 = 6x - 10

Add "10" to both sides of the above equation

⇒ 5x = 6x

Subtract "5x" from both sides

⇒ 0 = x

⇒  x = 0

Now, substitute the value of x = 0 in equation (ii) to solve for "y".

⇒ 5(0) + y = -10

⇒ y = -10

Therefore, the solution to the given system of linear equations is (0, -10).

Learn more about the Linear equations here:

https://brainly.com/question/13738061

#SPJ2

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

What effect does inflation have on the prices of goods and services?

A. Prices decrease

B. Prices double

C. Prices increase

D. Prices stay the same

Answers

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

Solve And Graph 12 + 6 _> 42

Answers

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?

Answers

hii I am enter in wrong serve ....

Answer:

have u goa answer

Step-by-step explanation:

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

Write 0.721 as a fraction. Show your work.

Answers

Step-by-step explanation:

721/100

It is correct answer

It would be 721/1000
(If you want me to explain I can)

Hope this helps

Have a great day/night

I need a bit of help!

Answers

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Multiplying binomials using area model.

Answers

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step

Answers

Answer:

Add –3 to both sides

Step-by-step explanation:

edge 2021

Other Questions
please help me with this Choose the best response.Qu haces?Yo como.l lee.Ellos venden la ropa.Yo correr.. Identify the correct characteristics of Python lists. Check all that apply. Python lists are enclosed in curly braces { }. Python lists contain items separated by commas. Python lists are versatile Python data types. Python lists may use single quotes, double quotes, or no quotes. What enabled the transformation from hunter-gathering societies to farming societies? What effect does inflation have on the prices of goods and services?A. Prices decrease B. Prices double C. Prices increase D. Prices stay the same How can calcium oxide change directly to limewater?Wants equation and observation What parts of Africa were controlled by the French? draw a number line with the solution to :1/4 - 1/2 why is cats the musical so bad Many limericks have well-known authors.TrueFalse In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made? HELP ASAPThe blue triangle is dilated to the red triangle from thedilation point of (0,0). What is the zoom factor?Submit and Explain15 When a nonmetal bonds with another nonmetal, what type of bond is created? Nonmetals never bond with nonmetalsMetallicCovalentIonic PLEASE ANSWER QUICK>>>>>Explain how enherited traits are determined How do I do this/solve help me if you know it! Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a Multiples of 2 set in his free time. How can he tell which numbers belong in this set? The graph of y= x^2 +4x +3 is shown work out a and b please BRAINLIEST URGENT PLEASE HELP!!! Assume the role of an everyday person living in Europe during WWI. Create a journal entry (at least 1 page) detailing how the war is affecting your life and your country. Please help with Japanese! Basic questions!!! Could someone good at geometry help me please. I will mark brainliest!! :)