Respuesta :
The inequality is:
[tex]70+6x\geq 150[/tex]
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,
[tex]70 + 6(\text{number of sales})\geq 150[/tex]
[tex]70+6x\geq 150[/tex]
Thus the inequality is found
Solve the inequality
[tex]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[/tex]
So he must do more than 14 sales to get at least $ 150
