Question

Donnie and Tania are math tutors. The amount Donnie charges for a session h hours long is represented by the function D(h) = 40h + 10. Tania charges a flat fee of $30 plus $15 an hour. Write a function, T(h), that represents the amount in dollars that Tania charges for h hours of tutoring. Graph both functions on the same coordinate grid, and label each line. Compare the slopes and y-intercepts of the graphs.

Answer 1

Explanation:

Answer 2

`T(h)=15h+30`

The graph is shown below.

Explanation:

The amount Donnie charges for a session h hours long is represented by the function

`D(h)=40h+10`

Tania charges a flat fee of $30 plus $15 an hour. The amount in dollars that Tania charges for h hours of tutoring is represented by the function

`T(h)=15h+30`

Slope intercept form of a line is y=mx+b, where m is slope and b is y-intercept.

For Donnie:

Slope = 40 and y-intercept = 10

For Tania:

Slope = 15 and y-intercept = 30

It means slope of Donnie is greater than Tania and y-intercept of Tania is greater than Donnie.

Table of values for Donnie:

x y

0 10

1 50

2 90

Table of values for Tania:

x y

0 30

1 45

2 60

Plot these ordered pair on same coordinate plane and connect them to draw both functions.

The graph is shown below.