Question

The super awesome and nerdy Math Club is selling shirts for $13 each and fancy pencils for $8 each. The club aims to raise at least $5000. If "r" represents the number of shirts sold and "y" represents the number of fancy pencils sold, write an inequality that models the situation.

A) 13r + 8y ≥ 5000
B) 13r + 8y ≤ 5000
C) 13r + 8y = 5000
D) 13r - 8y ≥ 5000

Answer 1

The correct inequality to model the situation where the Math Club is selling shirts and pencils to raise at least $5000 is 13r + 8y ≥ 5000, where 'r' is the number of shirts sold and 'y' is the number of pencils sold.

Step-by-step explanation:

The Math Club is selling shirts for $13 each and pencils for $8 each, with the goal of raising at least $5000. To represent the number of shirts sold by 'r' and the number of fancy pencils sold by 'y', we can set up an inequality to model this situation. The total revenue generated from selling shirts is 13r, and the total revenue from pencils is 8y. If they need to raise at least $5000, the combined revenue from both shirts and pencils must be greater than or equal to $5000.

Therefore, the inequality that models this situation is 13r + 8y ≥ 5000. So, the correct choice is A) 13r + 8y ≥ 5000 because this inequality represents the club's goal of raising at least $5000.