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

Answer:

Step-by-step explanation:

Answer 2

Answer:

$T(h)=15h+30$

The graph is shown below.

Step-by-step 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.