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.
A.) Rate of change = (1350 - 750) / (2010 - 2000) = 600/10 = $60 The initial value is the amount he charged in his first year of business which is $750.
B.) Required equation is given by y - 750 = 60x y = 60x + 750 where x represent the number of years after 2000.
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