Question

PLEASE HURRY!!

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
SHOW YOUR WORK!!
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

A) Business means the process of earning money, so she earned $350 at first time, so her initial value would be: $350

Rate of change = 750 - 350 / 350 * 100
= 400 / 350 * 100
= 40000 / 350
= 114.28

Now, There are 4 years between 2014 & 2010 so it will be:
= 114.28 / 4 = 28.57

In short, Your Answer would be 28.57% per year

B) Equation would be: Y = x + 0.2857x
Where, x = number of year

Hope this helps!