Chapter 1.2, Problem 30PPS

To determine

To write:an expression forthe total cost to have photographs taken and the cost of purchasing twelve portrait sheets.

Answer to Problem 30PPS

The algebraic expression is $25+7p$ and the total cost of 12 portrait sheets is $109

Explanation of Solution

Given:

A studio charges a sitting fee of $25 plus $7

Calculation:

Let "p" represents the total number of sheets ordered.

The extra cost (other than $25) for one portrait sheet is $7, then the extra cost for these p portrait sheets will be will be p times 7

The word “plus" indicates addition.

So, the phrase "a sitting fee of $25 plus $7 for each portrait sheet ordered" can be translated into the algebraic expression

  $25+7p$

To find the cost of 12 portrait sheets, we replace p by 12 in the expression $25+7p$

Thus, we have that

  $25+7p=25+7\times 12$

Now, by the rules for order of operations, we have that we have to first multiply and then add.

  $\begin{array}{l}25+7p=25+7\times 12\\ =25+84\\ =109\end{array}$

Thus, the total cost of 12 portrait sheets is $109

Conclusion:

Thus, the algebraic expression is $25+7p$ and the total cost of 12 portrait sheets is $109