Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout 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.

Question

Mathematics

Kadin

10 January, 13:47

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout 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.

+2

Answers (1)

Know the Answer?

David Kemp · Answer 1

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.