Question

Tatiana and Alejandro are selling gift baskets at a craft fair. Their costs are $55 for the table and $15 per basket. They sell each basket for $25. Write an inequality that shows Tatiana and Alejandro making a profit.

A) 25(x) - 55 ≥ 15(x)
B) 25(x) - 55 ≤ 15(x)
C) 15(x) - 55 ≥ 25(x)
D) 15(x) - 55 ≤ 25(x)

Answer 1

The correct inequality for Tatiana and Alejandro to make a profit is A) 25(x) - 55 ≥ 15(x), which indicates their revenue is greater than or equal to their costs.

Step-by-step explanation:

The inequality that shows Tatiana and Alejandro making a profit would represent their total revenue being greater than or equal to their total costs. Their revenue for selling x baskets at $25 each is $25x, and their total costs include a fixed $55 for the table plus $15 per basket. The costs can be represented as $55+$15x. So the inequality that shows them making a profit is their revenue being greater than or equal to their total costs: $25x - $55 ≥ $15x. Therefore, the correct inequality from the options provided is A) 25(x) - 55 ≥ 15(x).