To calculate the commission earned by the realtor on a $175,000 home at a commission rate of 5.32%, you can use the following formula:
\[ \text{Commission} (c) = \text{Sale Price} \times \text{Commission Rate} \]
First, convert the percentage to a decimal:
\[ 5.32% = \frac{5.32}{100} = 0.0532 \]
Now plug in the sale price:
\[ c = 175,000 \times 0.0532 \]
Calculating that:
\[ c = 175,000 \times 0.0532 = 9,310 \]
Therefore, the realtor will earn $9,310 in commission for selling the $175,000 home.