!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

Answer 1
$1350-$750=$600
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750
Answer 2

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.


Related Questions

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

Are the ratios 5:4 and 8:2 equivalent? yes or no

Answers

Answer:

no

Step-by-step explanation:

no its no

Answer:

I believe no

Step-by-step explanation:

I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me

5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.​

Answers

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?

Answers

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

what comparison does the ratio 6 to 21 represent​

Answers

Answer:

3:7

Step-by-step explanation:

hope it help you....

Answer:

2:7

Step-by-step explanation:

You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)

Gina wants to solve the following proportion.


a / 5/8 = 3/5 / 2/3


A. explain how to solve the problem.

B. solve the proportion. show your work.

Answers

Step-by-step explanation:

please don't understand the question. will be happy if you take a shot of it.

Thanks

a/5/8 = 3/5 / 2/3

We can take the reciprocal of the denominator, since the denominator itself is a fraction

The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)

Taking reciprocal

8a / 5 = 3*3 / 5*2

8a / 5 = 9 / 5*2

a = 9 * 5 / 5*2*8

5’s get canceled, 2 and 8 gets multiplied in the denominator.

We will then be left with,

a = 9 / 16


I have also verified it and got the right answer.

Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers

1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number

Answers

Answer:

option 3.

Step-by-step explanation:

alright, ima explain each option.

1. "smallest odd numbers" 2 is an even number. that's out of the playing field.

2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.

3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]

4. they do multiply to 30, but this does not help break the composite numbers down.

5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.

sub to gauthmath sub reddit if ya can !

They are prime numbers with nice divisibility rules

Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.

Answers

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Please help me fast! I will give brainly

This is the question,

YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?

10-(5x2)+7 or 10-5x2+7

Yes or No

And Explain the answer

Answers

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

10-(5x2)+7 or 10-5x2+7

The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.

1. Find the temperature in Celsius if it is 50°F.

2. Find the temperature in Celsius if it is -10°F.

Answers

Answer:

1.) 10

2.) 14

Step-by-step explanation:

1. 50-32= 18•5/9= 10*C

2. -10-32= -42•5/9= -23.33*C

If f(x) = -3x - 2
find f(-2) + 9

Answers

Answer:

f(-2) + 9 is 19

Step-by-step explanation:

[tex]f(x) = - 3x - 2[/tex]

when x is -9:

[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]

sum up with 9, f(-2)+9:

[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]

It shluld be 19 i think

Please answer my question and explain it.

Answers

Answer:  Choice D

================================

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

I will put brainlyness answer please help me I really need it ASAP

Answers

The origin is the point (0,0) where the x and y axis intersect. To get to the point (-1,1) start at the origin, move one unit to the left and one unit up. To get to the point (1,-1.5) start at the origin and move one unit right and down one and a half. To get to the point (2, 1/4) start at the origin and move 2 units right and up one fourth of the way to 1.

Rewrite using a negative exponent.

1/3^2

Answers

Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

Please Help Me! I will give brainly!!


The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?

Answers

Answer:

5 1/10 meters

Step-by-step explanation:

18 4/5 can be changed to 18 8/10 so

18 8/10 - 13 7/10 = 5 1/10 meters

5 1/10 meters ahhhhhhhhhhhh

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552

explain how to find the difference between 9^10/9^11 and 9^11/9^10

Answers

Answer:

jhv

Step-by-step explanation:

kjbb

Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.

Answers

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

Answer:

Step-by-step explanation:

Express each of the following fractions as percentages
12/25
solution for class 7

Answers

Like we did in the previous problem, divide and multiply by 100:
12 / 25 = 0.48
As a percentage, we multiply by 10p;
0.48 *100 = 48

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x

Answers

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

E. 8X^2-10x ! hope this helps

Item 18
A flagpole casts a shadow that is 7 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 25 inches long. How tall is the flagpole to the nearest foot?

Answers

7/x= 6/25
175 =6x
29.1666
So nearest foot is 29 feet

DUDE I NEEED HELP FRIST ANSWER GET BRIANLY

Answers

Answer:

b and d

Step-by-step explanation:

The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)

a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.

b. Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together

Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
5, 10, 15, 20,...

Answers

Answer:

Step-by-step explanation:

it is not a geometric sequence

Answer:

no

Step-by-step explanation:

Take the second  term and divide it by the first term

10/5 = 2

Take the third term and divide it by the second term

15/10 = 3/2

The ratio is not the same so it is not a geometric sequence

Where do the slope and y-intercept show up in the tables and graphs?

Answers

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Positive side of graph?

20 POINTS!!

A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked.]

B. In your list from A, which are favorable outcomes of the following event: choosing an odd number?

Answers

Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units

Whats the answer to the question...

Answers

Answer:

first graph equation is (0,5)

second graph equation is(-6,0)

The Answer is (0,5)(-6,0)

HURRY IM TIMED!! which inequality is represented by this graph?

Answers

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

I really need help with this question please!

Answers

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

The answer is y=2x+3 d cause it helps
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