How much commission will the realtor earn for selling a $175,000 home If the realtor earned an $10,254.30 commission, what was the price of the home?

To determine how much commission the realtor earns for selling a $175,000 home, we first need to find the commission rate.

Given that the realtor earned a $10,254.30 commission, we can express this as a percentage of the home price:

1. Let \( P \) be the price of the home in the second part of the question (which we will calculate).

2. Let \( R \) be the commission rate (as a decimal).

3. The formula for commission is:

   \( \text{Commission} = R \times P \)

For the first part of your question, let's denote the commission rate for the $175,000 home as \( R \).

If we express the commission as a fraction of the sale price:

\[ R = \frac{\text{Commission}}{\text{Sale Price}} = \frac{\text{Commission}}{175,000} \]

Assuming the amount of commission earned on the $175,000 home is the same as the $10,254.30 on the other home, we can set up the equation:

\[ 10,254.30 = R \times 175,000 \]

To find \( R \):

\[ R = \frac{10,254.30}{175,000} \]

Calculating \( R \):

\[ R \approx 0.0586 \text{ or } 5.86% \]

Now, if we want to find the price of the home given a $10,254.30 commission, we use the same commission rate \( R \):

\[ 10,254.30 = R \times P \]

Replacing \( R \):

\[ 10,254.30 = 0.0586 \times P \]

To find \( P \):

\[ P = \frac{10,254.30}{0.0586} \approx 175,000 \]

So, the price of the home where the realtor earned a $10,254.30 commission is approximately $175,000.

In conclusion, the realtor earns a commission of approximately $10,254.30 on selling a $175,000 home, assuming the same commission rate applies to both scenarios.