Question

A drive-in movie theater can accommodate up to 137 vehicles. To earn at least $500 per movie, the theater charges $22 per car for members and $25 per car for non-members. Which inequalities can be used to represent the number of member cars, m, and non-member cars, n, that the theater can allow in per movie? Select the two correct answers.

a) 22m + 25n ≤ 500
b) 22m + 25n ≥ 500
c) 25m + 22n ≥ 500
d) m + n ≤ 137

Answer 1

The inequalities that can be used to represent the number of member cars, m, and non-member cars, n, that the theater can allow per movie are 22m + 25n ≤ 500 and m + n ≤ 137.

Step-by-step explanation:

To represent the number of member cars, m, and non-member cars, n, that the theater can allow per movie, we can use the following inequalities:

1. Option a) 22m + 25n ≤ 500: This inequality represents the condition that the total amount earned from member cars and non-member cars should be less than or equal to $500.
2. Option d) m + n ≤ 137: This inequality represents the condition that the total number of member cars and non-member cars should be less than or equal to 137, which is the maximum number of vehicles the theater can accommodate.