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.

Answer 1

ello

Answer 2

hey

Answer 3

mate For the chart it's 1200 and 1350 for the prices and 2005 and 2008 for the years

Answer 4

Find the slope from the two given points: (0,1200) and (3,1350)

\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }= \frac{ 1350 - 1200}{ 3 - 0} = \frac{ 150}{ 3} =\boxed{\bf{ 50}}

y = 50x + b
Plug in the point: (0,1200)
1200 = 50(0) + b
1200 = b
b = 1200

y = 50x + 1200

Part A.
The rate of change is 50.
The initial value is 1200.

Part B.
The equation in slope-intercept form is y = 50x + 1200.

Answer 5

the points 0 and 3, instead of 2005 and 2008, because 2005 was the first year he started his business. And therefore, 2008 was the 3rd year his business was running.

Answer 6

wow that was fast

Answer 7

Thankkssss.

Answer 8

u understand

Answer 9

ANY OTHER QUESTIONS MATEE

Answer 10

thats it for now it was just this one

Answer 11

Here mite not see right but

Answer 12

:3