Question

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.

Answer 1

You are given two points: (2000,750) and (2010,1350). Find the slope of the line segment connecting these two points. Remember the slope formula?

What amount did Elliot charge in the year 2000? That's the year in which he started this business, so there's no point in considering years before 2000. What is the initial value of the fees Elliot charged? It's the y-value when the year is 2000.