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? 햠 C 5 15s 햡 C 5 10s 햢 C 5 1}} 10s 햣 C 5 1}} 15s Part B If Garlan sells $350 in shoes, what is his commission in dollars? Enter your answer in the box. 2 3 8 9 4 0 6 1 7 5 2 3 8 9 4 0 6 1 7 5 2 3 8 9 4 0 6 1 7 5 2 3 8 9 4 0 6 1 7 5 2 3 8 9 4 0

Answer 1

To solve this problem step by step, let's address Part A first.

### Part A

We know that Garlan earns $15 in commission for every $150 worth of shoes he sells. This means that the commission rate can be calculated as follows:

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

This shows that Garlan earns 10% commission on the sales. Therefore, the equation for the total commission \( C \) that Garlan earns for selling \( s \) dollars worth of shoes can be formulated as:

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

Now looking at the answer options provided:

- \( \text{햠 } C = 15s \)
- \( \text{햡 } C = 10s \)
- \( \text{햢 } C = \frac{1}{10}s \)
- \( \text{햣 } C = \frac{1}{15}s \)

The correct choice that reflects the commission earned is:

\[
C = \frac{1}{10}s \quad \text{(햢)}
\]

### Part B

To find the commission if Garlan sells $350 in shoes, we can use the equation we derived from Part A:

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

Substituting \( s = 350 \):

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

Thus, Garlan's commission when he sells $350 in shoes is:

\[
\boxed{35}
\]