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

Determine the y intercept I don’t know how please help

Answers

Answer:

(0, -2)

Step-by-step explanation:

Since line is intersecting y axis at point (0, - 2)

Hence, y-intercept = (0, - 2)

on Iready Question 7 angle sum properties Level H what is the answer

Answers

Answer:

Step-by-step explanation:75

John is buying a new computer for $550.00. He has a coupon to receive 15% off. How much, in dollars, is his discount?

Answers

Answer:

$82.50 is the discount.

Step-by-step explanation:

550 x .15 = $82.50

Hope that helps!

Find the area........

Answers

Answer:

6) 121.2 sq meters

7) 40 sq ft

8) 70 sq meters

Step-by-step explanation:

#6 and 7:  base x height

#8: base x height / 2

Devin reads 2 pages of a book every 3 minutes. Which proportion could be solved to find x, the number of minutes it will take to read 6 pages?

Answers

Answer: The answer would be 2/3 = x/9

It would take 9 minutes to read 6 pages as per the proportional relationship.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2

Now,
Put y = 6
x/6 = 3/2
x = 9 minutes

Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.

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Find the discriminant and determine the number of real roots for each equation. Show steps.

-9x^2 + x - 7 = 0

Answers

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots

) tan C
с
45
36
to
27
А

Answers

Answer:

36. 1193 or 33.12 degrees rounded

Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

= 36. 1193 or 33.12 degrees rounded

Graph the line with the equation y = -x + 7.

Answers

Put the first point at (0,7) then move left by 5 and up by 1, then one going right 5 and down 1 from the y intercept.

Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.

Answers

Answer: B

Step-by-step explanation:

The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m

Answers

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

How many decks have fewer than 1 joker?

Answers

Answer:

32

Step-by-step explanation:

Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.

Help me ASAP!!!!!!!! Plzzzz

Answers

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

A triangle has sides with lengths of 7 miles, 7 miles, and 9 miles. Is it a right triangle yes or no

Answers

Answer:

No

Step-by-step explanation:

Please can someone answer this question, I never understand these and would like to know how to do them... QUESTION ATTACHED

Answers

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

PLUS

4 * sqrt (10)

which equals

7 * sqrt (10)

SO, the value of a is 7

Step-by-step explanation:

A gym membership charges an initial
fee of $ 125 plus a $25 fee every
month. Another gym only charges $50
every month. After how many months
will the total cost for both gyms be the
same?

Answers

Answer:

the gym that has 150, will take 2 months and the gym that has 50 will take 6 months

first gym:

150

300

second gym:

50

100

150

200

250

300

PLS I NEED HELP QUICKLY

Answers

b + b + h+ h, then b^2+h^2

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

ASAP ILL MARK BRAINLIEST!!!!!!

Answers

1280. 100% of students
X. 60% of student voting for Joan

X=1280•60/100
X=768

PLEASE HELPPPP ITS DUE IN 20 MINNNN

Answers

Answer: 2cm is the radius and 10 cm is the diameter.

Answer:

2 is the radius and 10 is the diameter!

Step-by-step explanation:

Good luck buddy!

Order these triangle with equal sides from least to greatest the triangles are equilateral scalene and isosceles

Answers

Answer:

equilateral

isosceles

scalene

The triangles with equal sides from least to greatest

Equilateral, Isosceles, Scalene.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The reason for this order is that an equilateral triangle has all three sides equal in length, while an isosceles triangle has two sides equal in length and one side different.

A scalene triangle has all three sides of different lengths.

Since all three sides of an equilateral triangle are equal, it has the smallest perimeter of the three types of triangles.

The isosceles triangle has two sides equal, so its perimeter will be greater than that of an equilateral triangle, but less than that of a scalene triangle.

Finally, the scalene triangle has three sides of different lengths, so it will have the largest perimeter of the three types of triangles.

Thus,

The triangles with equal sides from least to greatest

Equilateral, Isosceles, Scalene.

Learn more about triangles here:

https://brainly.com/question/25950519

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18. The perimeter of the given triangle is 36 cm.
Find the value of x.


Answers

Answer:

x = 7

Step-by-step explanation:

(x+2)+(3x-9)+(2x+1) = 36

6x - 6 = 36

6x = 42

x = 7

HELP I NEED HELP ASAP

Luke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?

Answers

it would be an acute

What number represents 50 meters below sea level

Answers

-50 meters would be the answer.

if sin theta = -3/5 and theta terminates in the fourth quadrant, find the exact value of tan 2θ

Answers

Answer:

67=9

Step-by-step explanation:

Answer:

-24/7

Step-by-step explanation:

EDGE 2021

Solve for x. Round all answers to the nearest tenth

Answers

Find the length of an arc that subtends a central angle of 172 in a circle of radius 7 in.
arc-length =
in
Please help

Jason paid a $100 start-up fee for his
telephone. He also pays a monthly
service charge, X. Jason paid a total of
$340 in the first 6 months. Which of the
equations below can be used to find the
monthly service charge?
A 340 = 6 + 100x
B 340 = 100+ 6x
C 340 = 100 - 6x

Answers

Answer:

b

Step-by-step explanation:

QUESTION IN THE PICTURE

HALPPPPP​

Answers

Answer:

All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

Jason opens a savings account with $50. Each week
after, he deposits $25. In how many weeks will he have
saved $450?
Note: Deposit means he adds money into his account.
Find the number.

Answers

Answer:

16 weeks

Step-by-step explanation:

16 is the answer ok! Bye

is it A, B,C, or D? i need help asap

Answers

Answer:

C

Step-by-step explanation:

If x=0 is 2010, you can infer that x=6 would be 2016.

From there, you just have to find the correlating y-value (38).

Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined area A of the picture and the frame?

A. A(x)=x^2+20x+96
B. A(x)=x^2+40x+96
C. A(x)=4x^2+20x+96
D. A(x)=4x^2+40x+96

Answers

Answer:

Step-by-step explanation:

Total dimensions = (12+2x) inches by (8+2x) inches

A = (12+2x)(8+2x) = 4x² + 40x + 96

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