Question

HELP PLZ FAST Neil has been running a tutoring business since 2015. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:

Year Annual Tutoring Fee
2015 $1140
2018 $1350
A. What is the rate of change and initial value for Neil's business? How do you know? (2 points)
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year since 2015. (3 points)

Answer 1

Rate of change is the same as slope in this case.

(1350-1200)/(2008-2005) = 150/3 = $50 increase per year

The initial amount he started charging was $1200 a year.

y = 50x + 1200, where x represents the number of years since 2005.

Explanation: