Question

You are considering taking some courses at your local community college on a part-time basis for the upcoming school year. For a student who carries fewer than twelve credits (the full-time minimum), the tuition is $155 for each credit hour taken. All students, part-time or full-time, must pay a $20 parking fee for the semester. This fixed fee is added directly to your tuition and is included in your total bill. Write an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours. Use n to represent the number of hours taken for the semester. Then, determine its value.

Answer 1

We can find the total bill t as: t(n) = $155*n + $20. For 11 credits the cost is $1,725

Explanation:

We have the information about the cost to study. For a student who carries fewer than twelve credits (the full-time minimum), the tuition is $155 for each credit hour taken. It means that the number of hours (n) must be multiplied by $155.

All students, part-time or full-time, must pay a $20 parking fee for the semester. This fixed fee is added directly to your tuition and is included in your total bill. It means that we have to add $20 to the bill.Now, if we represent the number of hours as n, we can calculate the total bill as the sum of parking and credits cost as follows:

t(n) = $155*n + $20.

Now, if we analyze a student with 11 credits. The total value should be:

t(11) = 155(11) + 20= $1,725

Finally, we can find the total bill t as: t(n) = $155*n + $20. For 11 credits the cost is $1,725

Answer 2

Costs are:
$155 per credit hour for n credit hours (n < 12)
$20 for parking
t = 155n + 20
The maximum you would have to pay is:
t = 155(11) + 20
= $1,725 for the semester