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.