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

100 each year and y=100x+350

Explanation:

Answer 2

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

`(750 - 350)/(2014 - 2010) = (400)/(4) = (100)/(1 year) =` $100 a year increase

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