To determine what percent of the selling price the realtor earned as a commission, follow these steps:
1. Identify the selling price of the house:
[tex]\[
\text{Selling price} = \$480{,}000
\][/tex]
2. Identify the commission received by the realtor:
[tex]\[
\text{Commission} = \$31{,}200
\][/tex]
3. Use the formula for calculating the percentage of the commission based on the selling price:
[tex]\[
\text{Percentage Commission} = \left( \frac{\text{Commission}}{\text{Selling Price}} \right) \times 100
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Percentage Commission} = \left( \frac{31{,}200}{480{,}000} \right) \times 100
\][/tex]
5. Perform the division:
[tex]\[
\frac{31{,}200}{480{,}000} = 0.065
\][/tex]
6. Multiply by 100 to convert the decimal to a percentage:
[tex]\[
0.065 \times 100 = 6.5\%
\][/tex]
So, the realtor earned [tex]\(6.5\%\)[/tex] of the selling price as commission. Therefore, the correct answer is:
A) [tex]\(6.5\%\)[/tex]
