Question

In one shift working at a store, Cecilia earned more than $310 total. She made $160, plus x dollars in commission for each of 8 jackets she sold. How much could she have made for each jacket?

Answer 1

Cecilia's commission per jacket must be more than $18.75 to have earned over $310 in one shift, calculated by solving the inequality 160 + 8x > 310 for x.

Step-by-step explanation:

To determine how much Cecilia could have made for each jacket, we need to establish an equation based on the information provided. Cecilia earned a fixed amount of $160 plus a commission for each jacket sold. Let's denote the commission per jacket as x.

We know that her total earnings for the shift were more than $310, and she sold 8 jackets. The equation reflecting her earnings can be written as: 160 + 8x > 310. To find the value of x, we need to solve the inequality.

First, subtract $160 from both sides of the inequality to isolate the term with x on one side:
8x > 310 - 160
8x > 150.

Next, divide both sides by 8 to solve for x:
x > 150 / 8
x > 18.75.

This means that Cecilia's commission per jacket must be more than $18.75 for her to have earned more than $310 in that shift.