Question

Abigail wants to attend a community college. Suppose x represents the number of credits she takes and y represents her total fees in dollars. Which of these statements are correct? Select all that apply.

A.
If tuition amounts to $125 plus $150 per credit, the function that would model this situation is y = 150x + 125.

B.
If tuition amounts to $200 plus $175 per credit, the function that would model this situation is x = 175y + 200.

C.
If tuition amounts to $175 plus $150 per credit, the function that would model this situation is y = 175x + 150.

D.
If tuition amounts to $250 plus $275 per credit, the function that would model this situation is x = 250y + 275.

E.
If tuition amounts to $225 plus $200 per credit, the function that would model this situation is y = 200x + 225.

F.
If tuition amounts to $100 plus $125 per credit, the function that would model this situation is y = 125x + 100.

Answer 1

Option A

Option E

Option F

Explanation:

Let y = total cost
x = number of credits
the tuition is a fixed cost

First notice that y, the total cost, is a function of x credits In all the answer choices, y therefore should be on the left side and an expression involving x on the right side

Eliminate Options B and D

Analyze the remaining options

Option A √
x credits will cost her $125x
To this we have to add the fixed cost of tuition = $125
Total cost = 150x + 125

which can be expressed as
y = 150x + 125
Correct choice

Option C X
Using the reasoning provided in Option A
x credits cost = 150x
Fixed tuition cost = 175

So total cost
y = 150x + 175 and not y = 175x + 150
Incorrect choice

Option E √

y = 200x + 225 is correct for this situation

Option F √

y = 125x + 100 is correct