Chapter 3.4, Problem 51PPS

a.

To determine

To find: Equation in slope intercept form for the tuition $T$ for $c$ credit hours.

Answer to Problem 51PPS

  $T=157t+218$

Explanation of Solution

Given information:

Cost for tuition per credit hour = $ $157$

Fees cost per year = $\$218$

From given information

Cost for tuition per credit hour = $\$157$

Fees cost per year = $\$218$

  $1$ credit hour $\to \$157$

Multiplying with $t$ on both sides

We get

  $\begin{array}{l}\Rightarrow 1\times t\to \$157\times t\\ \Rightarrow t\to \$157t\end{array}$

Therefore

For $t$ credit hours Cost for tuition $=\$157t$

Therefore

Tuition fees per year = Cost for tuition for $t$ credit hours + Fees cost per year.

  $T=157t+218$

b.

To determine

To find: Cost for a student who is taking 32 credit hours in one year.

Answer to Problem 51PPS

Total Cost for tuition for 32 credit hours in one year = $5242

Explanation of Solution

Given information:

Cost for tuition per credit hour = $ $157$

Fees cost per year = $\$218$

Number of credit hours = $t=32$

Equation of given situation is

  $T=157t+218$

From given information

Number of credit hours = $t=32$

Substitute $t=32$

We get

  $\begin{array}{l}T=157t+218\\ \Rightarrow T=157\left(32\right)+218\\ \Rightarrow T=5024+218\\ \Rightarrow T=5242\end{array}$

Therefore

Total Cost for tuition for 32 credit hours in one year = $5242