Question

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.

Answer 1

@iiamtiana

Answer 2

Answer choices?

Answer 3

@Nnesha @Hayleymeyer @misssunshinexxoxo

Answer 4

there r no answer choices they are written questions @iiamtiana

Answer 5

I know the rate of change is $100 each year

Answer 6

Correct. What is the initial value, i.e. the rate she charged when she started the business in 2010?

Answer 7

would the equation be y=100x+4? @ospreytriple

Answer 8

@misty1212

Answer 9

@iiamtiana

Answer 10

No. The rate of change part is correct (100x). But, instead of +4, it must be the initial value (the rate charged when the business first opened). What would it be?

Answer 11

I'm not sure :(

Answer 12

@ospreytriple

Answer 13

350? @ospreytriple

Answer 14

Right. So what would the equation be?

Answer 15

y=100x+350

Answer 16

Correct. Well done.

Answer 17

yess:D thank u @ospreytriple

Answer 18

You're welcome.