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.

Part 1) 0.08

Part 2) $75.6

Part 3) y=230+0.08x

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

Step-by-step 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

Solve for x

Remember that x is the amount of sales in a week

The minimum amount to sell is $3,500

the answer is 5636.7

congruent segments

step-by-step explanation: