For questions 1-8, read and solve each problem; choose the best answer from the choices provided
for each item.
1. (MGSE9-12.F.BF.1) This table shows the number of people at a festival at certain times during
the day. Which function best represents the table below?
Hour (PM) 1 2 4 7 8
Number of People 12 19 33 54 61
A. f(x) = 7x + 12
B. f(x) = 7x + 5
C. f(x) = 5x + 7
D. f(x) = 5x + 12

For Questions 1-8, Read And Solve Each Problem; Choose The Best Answer From The Choices Providedfor Each

Answers

Answer 1

Answer:

[tex] f(x) = 7x + 5 [/tex].

Step-by-step explanation:

The equation that represents the function can be written in the slope-intercept form, [tex] f(x) = mx + b [/tex].

To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.

First, calculate the slope of the function using two points, (1, 12) and (2, 19).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{19 - 12}{2 - 1} = \frac{7}{1} = 7 [/tex]

Next, find b by substituting x = 1, f(x) = 12, and m = 7 into [tex] f(x) = mx + b [/tex].

[tex] 12 = (7)(1) + b [/tex]

[tex] 12 = 7 + b [/tex]

Subtract 7 from each side

[tex] 12 - 7 = b [/tex]

[tex] 5 = b [/tex]

[tex] b = 5 [/tex]

Substitute m = 7 and b = 5 into [tex] f(x) = mx + b [/tex].

✅Thus, the equation that represents the function would be:

[tex] f(x) = 7x + 5 [/tex].


Related Questions

In the school library, there are 110 fiction books, 250 nonfiction
books, and 125 magazines. The ratio of fiction books to magazines is 110 : 125.
Write the ratio of fiction books to magazines as a fraction, a decimal, and a
percent.

Answers

Answer:

110/125 = 22/25

0.88

%88

Step-by-step explanation:

It's basic math.

Select the correct answer.
Gio created a scatter plot and drew a line of best fit, as shown

Answers

Answer:

y=3x+5 is the answer for this question

Answer:

y= 1/3x+4

Step-by-step explanation:

The y-intercept is at 4 and the slope is 1/3

Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.

Answers

Answer:

19

Step-by-step explanation:

152/8

There will be 19 tables because you do 152 divided by 8

Write the equation of the line that is perpendicular to y = -2x + 4 and goes through the point (6, 5). Show all work for credit.

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original line.

-2 -> 1/2

Find the new y-intercept with the point we are given (6, 5).

y = 1/2x + b

5 = 1/2(6) + b

5 = 3 + b

2 = b

Fill in everything we solved for back into the orignal formula.

y = 1/2x + 2

Best of Luck!

A side of the triangle below has been extended to form an exterior angle of 125°. Find the value of xx.

Answers

Answer: 55

Step-by-step explanation:

x+125=180

subtract 125 on each side

when you do that 125 cancels out and your left with

180-125=55

The value of x from the given triangle is 55°.

Given that, a side of the triangle below has been extended to form an exterior angle of 125°.

What are adjacent angles?

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

From given figure, the exterior angle of tringle is 125° and x is adjacent angle to that.

Now, 125°+x=180°

⇒ x=180°-125°

⇒ x=55°

Hence, the value of x from the given triangle is 55°.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ2

Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.

Answers

Answer:

0.75

Step-by-step explanation:

y²-y¹/x²-x¹

8-5/1-(-3)

3/4

=0.75

Divide 3/5 by 1/2 as a reduced fraction.

Answers

Answer:

You can't divide two fractions together, so you multiply the second fraction by taking its reciprocal.

[tex]\frac{3}{5} * \frac{2}{1} \\\\= \frac{6}{5}[/tex]

If we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].

Given that,

The fraction is [tex]\frac{3}{5}[/tex].And, the other fraction is [tex]\frac{1}{2}[/tex].Now it should be divided to come as a reduced fraction.

So, the decreased fraction should be

[tex]= \frac{3}{5} \times \frac{2}{1} \\\\= \frac{6}{5}[/tex]

Therefore we can conclude that if we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].

Learn more about the fraction here: brainly.com/question/6201432

I worked on the project until it was completed.

Identify the subordinate clause in the complex sentence.

I worked on the project
on the project
it was completed
until it was completed

Answers

The subordinate clause would be “until is was completed”

Answer:

until is was completed

Step-by-step explanation:

d on edgnuity

answer this just tell me the color

Answers

Answer:

yellow

Step-by-step explanation:

Charlotte wants to know which website gains more new subscribers per amount of content. 1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A Number of new subscribers divided by number of writers (Choice B) B Number of new subscribers divided by number of likes (Choice C) C Number of new subscribers divided by number of posts (Choice D) D Number of new subscribers divided by number of words 2) Determine which website gains more new subscribers per amount of content according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, website A gains more subscribers per amount of content. (Choice B) B Yes. According to both definitions, website B gains more subscribers per amount of content. (Choice C) C No. The definitions have opposite results.

Answers

Answer:

1)

Number of new subscribers divided by number of posts.

Number of new subscribers divided by number of words.

2)

No. The definition have opposite results

Step-by-step explanation:

Khan academy said it was right tehee

Answer:

Step-by-step explanation:

number of new subscribers divided by posts

number of new subscribers divided by the number of words

no the definitions have opposite results.

John has a part-time job. He is payed £6.80 per hour. This week he worked for 9 and a half hours. Work out John's total pay for this week.

Answers

Answer:

£64.6

Step-by-step explanation:

Multiply £6.80 by 9

£61.2

Now divide £6.80 by 2

£3.4

Add £3.4 to £61.2

The answer is £64.6

(I think)

Hope this helps :)

help this is my last try!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

2^8=256

Step-by-step explanation:

Multiply the exponents and simplify

What is the slope of the line with the following coordinates from the
table?

Answers

1/8 is the slope.
(y2 - y1)/(x2 - x1)

Answer: The slope is 1/8

Step-by-step explanation:

The x values go up by 8. That gives the run.

the y values go up by 1. That gives the rise.

Slope is rise/run  SO

1/8 is the slope.

Graph attached.

PLEASE HELP ME PLEASE!!!

Answers

Answer:

cant not see the photo honey

Step-by-step explanation:

Answer:

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.

Therefore, The point ( 0, −1 ) lies on the graph of the equation.

Step-by-step explanation:

I feel like this wont help- qwq okay the answer is C-

Helpp pls it’s 25 points each

Answers

Answer:

1.= 2.5

2.= is incorrect because there should not be more than one = sign

Step-by-step explanation:

-5 + (-10)
Find the sum please and thank you!

Answers

Answer:

It is the -15 one I think

Answer:

The answer is -15 (A)

Step-by-step explanation:

The question shows that the two numbers are negatives, and the symbol is in addition. when you add negative numbers, the sum will be lower than both negatives. So -5 plus -10 is -15 (A).

Find the slope of the line passing through the points ( -9, 3) and (6, 3)

Answers

Answer:

M=0

Step-by-step explanation:

You want to use the formula (y2-y1)/(x2-x1). To do this, subtract 3-3/6- -9 and that is your slope. So the slope is 0/15.

this is pretty easy

two step equation!!

Answers

Answer:

Step 1: Simplify both sides of the equation.

z

3

−8=−4

1

3

z+−8=−4

1

3

z−8=−4

Step 2: Add 8 to both sides.

1

3

z−8+8=−4+8

1

3

z=4

Step 3: Multiply both sides by 3.

3*(

1

3

z)=(3)*(4)

z=12

Answer:

z=12

Step-by-step explanation:

please help need this urgently

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is A. y=1/3x+4

Explanation:

Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.

what is
-4/3(12k + 27) = -57 - 9k

Answers

Answer:

Step-by-step explanation:

-16k - 36 = - 57 - 9k

-36 + 57 = - 9k + 16k

21 = 7k

21/7 = k

3 = k

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1​

Answers

36 different ways; usually when it asks how many times different outcomes can pop up, all you have to do is multiply is by itself.

Which expression is equivalent to 2(m − 4) + 1?
A. 2m − 7
B. 2m − 3
C. 2m + 9
D. 2m + 10

Answers

Answer: The answer it A

2(m-4)+1

2m-8+1

2m-7

The answer is A
2(m-4)+1
You would do distributive property which you would do 2×4 which is 6+1=7 which therefore it would be

The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3

Answers

Answer:

y = -2x + 13

Step-by-step explanation:

Please help I don’t get it

Answers

Answer:

the answer is y= 3/4x+2

Step-by-step explanation:

the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx

Y-y1 = m(X-x1)

Y-2 = -3/4 (X-0)

Y-2 = -3/4x

Y = -3/4x + 2

What is the correct answer? ​

Answers

Answer:

C)   (-3, -1)

Step-by-step explanation:

y = 5/3x + 4

  When x = 0, y = 4

  When y = 0, x = -2.4

  graph the points: (0, 4) and (-2.4, 0)

y = -2/3x - 3

  When x = 0, y = -3

  When y = 0, x = -4.5

  graph the points: (0, -3) and (-4.5, 0)

The lines will cross at point: (-3, -1)

Which of the following statements is true about the three quadrilaterals?

a. D and E are similar but not congruent.
b. E and F are similar and congruent.
c. D and E are similar and congruent.
d. F and D are similar but not congruent.

Answers

a. D and E are similar but not congruent.

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.

What is the probability that Tara will select a blue marble from each bag?

Answers

Answer:

The first bag,  1 in 3 and the second, 2 in 9.

Step-by-step explanation:

If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!

Answer:

2/27

Step-by-step explanation:2/27

what is the answer to 6(-⅔) =

Answers

Answer:

-4

Step-by-step explanation:

6 × [tex]-\frac{2}{3}[/tex] = -4

I hope this helps!

A picnic favorite is strawberry Shortcake! Each batch of strawberry
shortcake calls for 1 2/5 pounds of cake and 3/4 pound of strawberries. If
you want to make 5 batches of strawberry shortcake, how many pounds
of cake and strawberries do you need to buy?

Answers

Answer:

To make 5 batches of strawberry shortcake you'll need 7 pounds of cake and 3 3/4 pounds of strawberries for a total sum of 10 3/4 pounds.

Step-by-step explanation:

1 - Write an equation to represent the problem

For every batch, it takes 1 2/5 pounds of cake and 3/4 pounds of strawberries

therefore

[tex]Let \\\ n_c = pounds~of~cake \\\n_s = pounds~of~strawberries \\\b = number~of~batches[/tex]

[tex]n_c = 1 \frac{2}{5}b \\\n_s = \frac{3}{4}b[/tex]

For ease of math, lets convert these to decimals

[tex]n_c = 1.4b \\\n_s = 0.75b[/tex]

2 - Plug in your variables to solve for cake and strawberries

Cake

[tex]n_c = 1.4b \\\ n_c = 1.4(5)\\n_c = 7[/tex]

To make 5 batches of strawberry shortcake you will need 7 pounds of cake

Strawberry

[tex]n_s = 0.75b \\\n_s = 0.75(5) \\\n_s = 3.75[/tex]

to make 5 batches of strawberry shortcake you will need 3.75 or 3 3/4 pounds of strawberries --- Totalling in at 10.75 pounds or 10 3/4

Hope this helps :)

Which of the following numbers is irrational?

-0.3

Answers

Answer:

-3/10

Step-by-step explanation:

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