Question

. Garlan works in a shoe store and earns a commission for every dollar’s worth of shoes he sells. When

he sells $150 in shoes, he earns $15 in commission.

Part A

Which equation can be used to find the total commission, C, that Garlan will earn for selling s dollars

worth of shoes?

a C = 15s

b C = 10s

c C = 1/10s




d = 1/15s









Part B

If Garlan sells $350 in shoes, what is his commission in dollars?

Answer 1

To find the correct equation to calculate Garlan's commission (C) based on the sales amount (s), we first need to determine the rate of commission based on the information given.

When Garlan sells $150 in shoes, he earns $15 in commission. To find the commission rate, we take:

\[
\text{Commission Rate} = \frac{\text{Commission}}{\text{Sales}} = \frac{15}{150} = \frac{1}{10} = 0.1
\]

This means Garlan earns 10% (or 1/10th) of the dollar amount he sells. Therefore, the equation to calculate his total commission C for selling s dollars worth of shoes is:

\[
C = \frac{1}{10}s
\]

So, the answer to Part A is:

**c. C = (1/10)s**

---

For Part B, if Garlan sells $350 in shoes, we can use the commission equation we found:

\[
C = \frac{1}{10}s
\]

Substituting \(s = 350\):

\[
C = \frac{1}{10} \times 350 = 35
\]

Thus, Garlan's commission for selling $350 in shoes is:

**$35**.