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.

The graph is shown below.

Step-by-step explanation:

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

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

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.

the first one, all those points on the line just make a strait line.