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 nonmembers. Which inequalities can be used to represent the number of member cars, m, and nonmember cars, n, that the theater can allow in per movie? Select the two correct answers.(1 point)

m+n≤137
m+n≥500
25m+22n≥500
22m+25n≤500
22m+25n≥500

Answer 1

22m+25n≥500

m+n≤137

Explanation:

Answer 2

M + N ≤ 137

and

22m + 25n ≥ 500

Explanation:

It says the drive-in movie theater can accommodate up to 137 vehicles. That means that the number of member cars and nonmember cars must be less than or equal to 137 - hence the first answer

Members are charged 22 (22m) and nonmembers are charged 25 (25n) and the sign means that they must be greater or equal too 500 - hence the second answer

if my explanation doesn't make sense to you, comment below and i'll see if i can help out