For a resident in a particular state, the total cost of tuition at the state college varies directly as the number of credit hours (units) a student takes.

Question

For a resident in a particular state, the total cost of tuition at the state college varies directly as the number of credit hours (units) a student takes. For the academic year 2006-2007, the total cost of 11 credit hours is $946. what is the total cost of 17 credit hours?

 

What is the total cost of 17 credit hours?

Answer 1

Hello, thank you for taking the time to post your question!

First you want to take

$946 / 11 = $86 in order to find the cost per credit hour. Then since it’s directly proportional you can just multiply by the 17 credit hours

17 credit hours x $86/credit hour = $1,462

So the total cost for 17 credit hours is $1,462.

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Direct Variation Formula:  y = kx

 

Let y = Total Cost

Let x = Credit Hours

 

We know:  946 = k(11)

 

Find:  y if x = 17

 

Using Direct Variation Formula:  y = k(17)

 

We can find k by using what we know: 946 = k(11) and solve for k.

k = 946/11

k = 86

 

The we can substitute 86 for k in our formula:  y = (86)(17) and solve.

 

y = $1,462 - If you enroll in 17 credit hours, your tuition will be $1,462.