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A salesperson earns $175 per week plus a commission equal to %4 of her sales. This week her goal is to earn no less than $525. write and solve an inequality to find the amount of sales she must haves to reach her goal. thanks!!

Respuesta :

Answer:

The minimum amount of sales she must have to reach her goal will be $8750.

Step-by-step explanation:

A salesperson earns $175 per week plus a commission equal to 4% of her sales.

Suppose, the amount of sales is [tex]x[/tex] dollar.

So, the amount of commission will be:  [tex](x\times 4\%)= 0.04x[/tex] dollar.

Thus, the total amount of earning in a week [tex]=(175+0.04x)[/tex] dollar.

This week her goal is to earn no less than $525. So, the inequality will be......

[tex]175+0.04x\geq 525\\ \\ 0.04x\geq 525-175\\ \\ 0.04x\geq 350\\ \\ x\geq \frac{350}{0.04} \\ \\ x\geq 8750[/tex]

So, the minimum amount of sales she must have to reach her goal will be $8750.