Neil has been running a tutoring business since 2005. 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
2005 $1200
2008 $1350

A. What is the rate of change and initial value for Neil's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.

Question

Neil has been running a tutoring business since 2005. 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
2005	$1200
2008	$1350


A. What is the rate of change and initial value for Neil's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.

anitas. · Answer

@selcouth
A. What is the rate of change and initial value for Neil's business? How do you know?

50 dollars per year
initial value is 1200 
to find the rate of change i determined the slope 
the initial value is the value at 2005

B. Write an equation in slope-intercept form to represent the fees that Neil charges each year. 
y = 50x + 1200