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.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: