Question

Unit 4 Lesson 10 MODIFIED Inequalities:

You are working a summer job as a retail salesperson at Macy’s. You earn $230 per week plus a commission of 8% of your sales. This week, you need to earn $510. You will write and solve an INEQUALITY to determine how to meet your goal.

1): Give the decimal form of 8%. __________________________

2): If you make $945 in sales, how much will you make from your 8% commission?

Show your work and circle your solution.


3): Create an expression representing how much you will make in one week if you sell

x amount of sales.


4): Create an inequality using the expression in problem 3 to find how much you need

to sell at a MINIMUM to make your goal.

Answer 1

Part 1) 0.08

Part 2) $75.6

Part 3) y=230+0.08x

Part 4) The minimum amount to sell is $3,500

Explanation:

Part 1) Give the decimal form of 8%

we know that

To convert percentage number to decimal number, divide by 100

8%=8/100=0.08 ----> decimal form

Part 2) If you make $945 in sales, how much will you make from your 8% commission?

Multiply the percentage of commission in decimal number by the total amount in sales

so

0.08*($945)=$75.6

Part 3) Create an expression representing how much you will make in one week if you sell

x amount of sales.

Let

x-----> amount of sales in a week

y ----> total earned in a week

we know that

The linear equation that represent this situation is

y=230+0.08x

Part 4) Create an inequality using the expression in problem 3 to find how much you need to sell at a MINIMUM to make your goal

we know that

The inequality that represent the situation is

`230+0.08x \geq 510`

Solve for x

Remember that x is the amount of sales in a week

`0.08x \geq 510-230`

`0.08x \geq 280`

`x \geq 280/0.08`

`x \geq 3,500`

The minimum amount to sell is $3,500