Chapter 6, Problem 10QC

To determine

Write an expression for the given statement and find the value of the expression using distributive property.

Answer to Problem 10QC

The total amounts spend by the Mr. Chavez are $\$52.50$ .

Explanation of Solution

Given:

The given statement is that Mr. Chavez spends some amount on $15$ students for pizza and soda. The cost of a slice of pizza is $\$2.25$ and a soda cost is $\$1.25$ .

Calculation:

For the given statement, the expression is given below.

  $f\left(x\right)=2.25x+1.25x$

Where $f\left(x\right)$ represents the total amount spend and $x$ represents the number of students.

In the statement, the total number of students $=15$

  $f\left(x\right)=2.25x+1.25x$

Use distributive property $ax+bx=x\left(a+b\right)$ .

  $\begin{array}{l}f\left(x\right)=x\left(2.25+1.25\right)\\ \Rightarrow f\left(x\right)=3.50x\end{array}$

Substitute the value of $x=15$ in the expression $f\left(x\right)=3.50x$ .

  $\Rightarrow f\left(15\right)=3.50\times 15=\$52.50$

Hence the total amounts spend by the Mr. Chavez are $\$52.50$ .