Question

A salesperson earns $300.50 per week plus 7% of her weekly sales. Which of the following describes the sales necessary for the salesperson to earn at least $900.85 in one week?

A. x is greater then or equal to 900.85
B. x is greater then or equal to 8576.43
C. x is greater then or equal to 600.35
D. x is greater then or equal to 17162.14

Answer 1

300.50 + 0.07(8576.43) > = 900.85
300.50 + 600.35 > = 900.85
900.85 > = 900.85 (correct)

so x is greater then or equal to 8576.43

Answer 2

salesperson earns $300.50 per week plus 7% of her weekly sales .To have the sales necessary for the salesperson to earn at least $900.85 in one week we can form an inequality equation. Let x denote his weekly sales.

300.50+7% x ≥ 900.85

Subtracting 300.50 both sides:

7%x≥ 600.35

0.07x ≥ 600.35

Dividing both sides by 0.07

x≥8576.428

Option B . x is greater then or equal to 8576.43 is the right answer.