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 the total bill if you take nine credit hours.

An equation to determine the total bill , t, for a student carrying fewer than twelve credit hours is [tex]t =155n +20[/tex] and the total bill if you take nine credit hours is $1415.

Step-by-step explanation:

For a student who carries fewer than twelve credits

Tuition fee for 1 credit hour = $155

Let n be the number of hours taken for the semester.

So, Tuition fee for n credit hour = 155n

Now each student has to pay $ 20 for parking for the semester.

Let t denotes the total cost for semester.

So, Total cost for a semester : [tex]t =155n +20[/tex]

Where t is total cost

n is no. of credit hours

Thus an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours is [tex]t =155n +20[/tex].

Now we are supposed to find the total bill if you take nine credit hours.

So,substitute n = 9 in the equation.

[tex]\Rightarrow t =155(9) +20[/tex]

[tex]\Rightarrow t =1395+20[/tex]

[tex]\Rightarrow t =1415[/tex]

Hence an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours is [tex]t =155n +20[/tex] and the total bill if you take nine credit hours is $1415.