Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughou
t the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business: Year ///Lawn Care Fee
2000 ///$750
2010 ///$1350
A. What is the rate of change and initial value for Elliot's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60 Initial value = $750 Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.