Q18. - Algebra 2

Question

Use the information below and in the table.

Ashley is selling chocolate bars for $\$1.50$ each to raise money for the band.

Evaluate the expression from exercise 17 by using the distributive property.

Step-by-Step Solution

Answer

Amount raised is $\$175.50$ 

Step 1 - Write the expression from exercise 17

$$\begin{gathered} A=\left(10\times 1.50\right)+\left(15\times 1.50\right)+\left(12\times 1.50\right)+\left(8\times 1.50\right) \\ +\left(19\times 1.50\right)+\left(22\times 1.50\right)+\left(31\times 1.50\right) \end{gathered}$$

Step 2 - Distributive Property

For real numbers $a,b,\text{ and }c$

Distributive Property is $a\left(b+c\right)=ab+ac\text{ and }\left(b+c\right)a=ba+ca$

Step 3 - Simplify expression

To evaluate, first take out $1.50$ common from all the terms then add the terms inside parentheses. Finally multiply the resulting terms as shown below

$\begin{array}{c}A=\left(10\times 1.50\right)+\left(15\times 1.50\right)+\left(12\times 1.50\right)+\left(8\times 1.50\right)+\left(19\times 1.50\right)+\left(22\times 1.50\right)+\left(31\times 1.50\right)\\ =\left(10+15+12+8+19+22+31\right)\times 1.50\\ =117\times 1.50\\ =175.50\end{array}$