Question

Maria sells homemade holiday cards at a craft fair. The total cost of the supplies and the booth rental is $150. She sells n cards for $3 each. If she makes a profit, which of the following inequalities includes all possible values of n? A. n+150>0 B. n-150>0 C. n-150<0 D. 3n-150>0 E. 3n-150<0

Answer 1

To determine the inequality that includes all possible values of n for Maria to make a profit, we need to consider the relationship between her total revenue and the total cost.

Maria sells n cards for $3 each, so her total revenue is 3n. The total cost of supplies and booth rental is $150.

To make a profit, her total revenue needs to be greater than her total cost. Therefore, the correct inequality is:

3n - 150 > 0

This means that the revenue from selling the cards (3n) needs to be greater than the total cost ($150) for Maria to make a profit.

Therefore, the correct answer is D) 3n - 150 > 0.

Explanation: