Question

As a salesperson you are paid $70 per week plus $6 per sale. This week you want your pay to be at least $150. Write an inequality to represent the number of sales you need to make to achieve your goal. Then solve the inequality algebraically, showing all work on your paper.

Answer 1

The inequality is:

$70+6x\geq 150$

You must do more than 14 sales to get at least $ 150

Solution:

Given that,

As a salesperson you are paid $70 per week plus $6 per sale

Let "x" be the number of sales

This week you want your pay to be at least $150

We have to frame a inequality to represent the number of sales you need to make to achieve your goal

This week he must earn at least $ 150

Thus, he can spend $ 150 or more then 150 also

So we have to use "greater than or equal to" symbol

From given,

$70 + 6(\text{number of sales})\geq 150$

$70+6x\geq 150$

Thus the inequality is found

Solve the inequality

$70+6x\geq 150\\\\Subtract\ 70\ from\ both\ sides\\\\6x\geq 150-70\\\\6x\geq 80\\\\Divide\ both\ sides\ by\ 6\\\\x\geq 13.3\\\\Thus\ approximately\ we\ get\\\\x\geq 14$

So he must do more than 14 sales to get at least $ 150