Question

Mindy earns income equal to 40% of her sales minus the shipping cost of her products. She wants her income to be at least $1,500 this month and calculates that her total shipping cost will be $48. This can be represented by the inequality 0.4x−48≥1,500, where x represents the amount of her sales in dollars. What is the least amount of sales Mindy must have to ensure that her income is at least $1,500 this month?

Answer 1

Mindy must have at least $3,870 in sales to ensure her income is at least $1,500 this month.

Step-by-step explanation:

To find the least amount of sales Mindy must have to ensure her income is at least $1,500 this month, we need to solve the inequality 0.4x - 48 ≥ 1,500, where x represents the amount of her sales in dollars.

First, we add 48 to both sides of the inequality to isolate the term with x.

0.4x - 48 + 48 ≥ 1,500 + 48

0.4x ≥ 1,548

Next, we divide both sides by 0.4 to solve for x.

x ≥ 1,548 ÷ 0.4

x ≥ 3,870

Therefore, Mindy must have at least $3,870 in sales to ensure her income is at least $1,500 this month.