Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:


Year Annual Dog-walking Fee
2010 $350
2014 $750


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

Answers

Answer 1

Answer:

Step-by-step explanation:

A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...

$350 initial value

[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex]  $100 a year increase

B. The equation for this scenario would be  y = 100x + 350

Answer 2

Answer:

100 each year and y=100x+350

Step-by-step explanation:


Related Questions

Will give brainliest

Answers

the first option is the answer

What is the m∠ACD, if m∠ABC = 37?

Answers

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

Answer:

143 is the answer

Step-by-step explanation:

I need help I'm confused

Answers

Answer:

KV=21

Step-by-step explanation:

what is the solution to m/8 < 4

Answers

Answer:

m < 32

Step-by-step explanation:

m/8 < 4

m < 32

Answer:

m<32

Step-by-step explanation:

multiply both sides of the inequality by 8

[tex]8 \times \frac{m}{8} < 8 \times 4[/tex]

then, reduce the numbers with the GCF= 8

[tex]m < 8 \times 4[/tex]

Doug makes a parallelogram-shape sign for his shop.

What is the area of this parallelogram?

Round to the nearest hundredth.

A. 5.32 ft²

B. 8.96 ft²

C. 14.28 ft²

D. 17.02 ft²


PLS HELP!!!

Answers

Answer:

C, 14.28

Step-by-step explanation:

area = base * height

= (1.9+3.2) * 2.8

=14.28

Answer:

Answer is C! brainliest this time pls

whats the domain of y=-3x+7?

Answers

Domain: (-infinity, infinity)

All linear equations(unless they have restrictions) will have a domain that goes on forever in both directions of the x-axis

20 Points!!! Math Question

Answers

Here is how to do the question,

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Hope that helps!!!!

Answer:

Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials

A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3

Answers

Answer:

64 square ft^3

Step-by-step explanation:

If the side lengh is 3 then you would have 4^3 which is 64.

Answer:

64

Step-by-step explanation:

Determine the values of x and y.

Answers

Answer:

answer is d please follow me I hope it will help you

A triangular prism has a height of 3 ft, a width of 5 ft, and a length of 8 ft. Find the volume.

a
90 ft3

b
60 ft3

c
150 ft3

d
120 ft3

Answers

Answer

120 ft3

Step-by-step explanation:

Length×Width×Height

(8ft×5ft×3ft)

5×3= 15 ft

15×8= 120 ft3

Which point is on the graph of the equation y = -3x + 4?

A. (-3, 4)
B. (2, 2)
C. (1, 1)
D. (0, -4)

Answers

Answer:

The points that fits the equation would be option D.

Help me pls pls pls

Answers

Answer:

Its 68

Step-by-step explanation:

Sum of all the angles is 180

63+49+w = 180

112+w=180

w=180-112

w=68

What would x be 3(x-5)=12

Answers

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

1 A home improvement store purchases $300 worth of materials. They charge a 55% markup. For how much will the materials be sold?​

Answers

Answer: $465

(300*1.55)

Rachel used 18 centimeters of tape to wrap 6 presents. How much tape will Rachel need in all if she has to wrap 15 presents? Solve using unit rates.

centimeters

Answers

Answer:

Rachel would need 45cm of tape to wrap 15 presents.

Step-by-step explanation:

Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.

Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.

I hope this helps you in any way.

£3.23 + £1.47 =
What is the answer i've tried so many different ones an they never seem to be wright?

Answers

Answer:

£4.7

Step-by-step explanation:

Answer:

£4.7

Step-by-step explanation:

Write the ratio in its simplest form using words. 14 cups to 28 cups

Answers

the ratio is 1:2 in simple form because 28/2 is 14.

PLEASE help me this is due tomorrow!!
Frodo goes to New Army and buys two pairs of Jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a coupon for 25% off his
entire purchase. Sales tax Is 7 3/4%. What is the total cost after the discount and tax? $

Answers

Answer:

$55.72 that is the rounded to the nearest cent the exact answer is 55.72021875

By how much is -23 less than 23?​

Answers

Answer:

46

Hope it helps

Please mark me as the brainliest

Thank you

46! I hope you have a great day :)

please answer the question above, will mark as brainliest answer​

Answers

Answer:

I think you want to the coordinates of point A

the answer is

(-1,-2)

drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.


Answers

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]

[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]

[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]

[tex]b=4.0187...[/tex]

[tex]b=4.0 m[/tex]

Now, we can use the Law of Cosines to figure out one of the acute angles:

[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]

[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]

[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]

[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]

[tex]C=39.3915...[/tex]

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

Find the midpoint between A (4, 2) and B (0, 6)

Answers

the midpoint would be (2,4)

A pair of sneakers costs $60. Dahlia bought them on sale
for $45. What is the percent decrease in the price of the
sneakers?

Answers

Answer:

The answer is 25%

Step-by-step explanation:

Dahlia bought them for 25% off.
60/4 =15 15x3=45

wich set of numbers is areanged in decreasing order? I need help thanks ​

Answers

Answer:

Send a pic of the problem.

Step-by-step explanation:

If Maya’s crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform. ( read and respond)

Answers

Answer:

400/2.5 = 720/x

 

400x = 720 x 2.5

 

x = 4.5

Step-by-step explanation:

The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide  the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720

Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.

Learn more about rate of change here:

https://brainly.com/question/13103052

#SPJ6

HELP PLEASE THANK YOU

Answers

Answer: A (b and F) They share the 90 degree angle and its just flipped

ASAP I NEED THE ANSWER NOW

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angle sum property of a triangle :

here, addition of all angles of triangles should be 180° , and hence,

6x = 120°

===> x = 20°

hence, option B.) is correct.

B.) (x+5) °+(3x) °+(2x+55) °=180° ; x=20°

Please help

How much per song?

Answers

Answer:

1.20 per song

Step-by-step explanation:

Its quite simple. just take 6 divided by 5

1.20 per person is the answer

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Unit Assessment (MC) / 10 of 13
Gam wants to determine which football team is the most popular at a game between the home team and the visiting
team. Which of the following methods will give him the most accurate results?
A surveying people wearing hats for the visiting team
OB surveying the cheerleaders for the home team
Exhibits
Csurveying people who do not live in the home team's city
OD surveying a group of people standing in line for tickets

Answers

Answer:

best person always get best position

Find the angle which is equal to its supplement. ​

Answers

Answer:

the angle which is equal to its supplement is 90 degree

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