Neil has been running a tutoring business since 2005. he charges a monthly fee for weekly tutoring sessions and a phone 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

We are measureing increase per year

so

change in price divided by change in years

1350-1200=150=change in price
2008-2005=3 years=chnage in years

so total is 150dollars/3yrs=50dollars/1yr

A. rate of change is 50 dollars per year
I know because math and also (1350-1200)/(2008-2005)=$50/yr

B.
hmm
the slope is 50
started in 2005
so that is year 0, or is it year 1
do we measuer years passed or which year is it?
let's say how many elapsed

alrighty,s

y=mx+b
m=slope
b=y intercept (value of y when x=0)
when x=0 is at 2005
that is the price is 1200
so b=1200

y=50x+1200

What’s the question here? what have you been learning about?

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.