Questions: Prorate the following expenses and find the corresponding monthly expense. During one year, Saul takes 15 credit hours for each of three quarters. Tuition and fees amount to 620 per credit-hour. Textbooks average 390 per quarter.

Prorate the following expenses and find the corresponding monthly expense. During one year, Saul takes 15 credit hours for each of three quarters. Tuition and fees amount to 620 per credit-hour. Textbooks average 390 per quarter.

Transcript text: Prorate the following expenses and find the corresponding monthly expense. During one year, Saul takes 15 credit hours for each of three quarters. Tuition and fees amount to $\$ 620$ per credit-hour. Textbooks average $\$ 390$ per quarter.

Solution

Solution Steps

Step 1: Calculate the Total Annual Cost for Tuition and Fees

To calculate the total annual cost for tuition and fees, multiply the cost per credit hour ($620) by the number of credit hours taken each quarter (15) and then by the number of quarters attended per year (3). \[Total\ Tuition = C \times H \times Q = $620 \times 15 \times 3 = $27900\]

Step 2: Calculate the Total Annual Cost for Textbooks

To calculate the total annual cost for textbooks, multiply the average textbook cost per quarter ($390) by the number of quarters attended per year (3). \[Total\ Textbooks = T \times Q = $390 \times 3 = $1170\]

Step 3: Calculate the Total Annual Expense

To calculate the total annual expense, add the total annual cost for tuition and fees to the total annual cost for textbooks. \[Total\ Annual\ Expense = Total\ Tuition + Total\ Textbooks = $27900 + $1170 = $29070\]

Step 4: Calculate the Average Monthly Expense

To find the average monthly expense, divide the total annual expense by the number of months in a year (12). \[Average\ Monthly\ Expense = \frac{Total\ Annual\ Expense}{M} = \frac{$29070}{12} = $2422.5\]