Question

A movie rental company offers a membership plan that costs $10 per month and charges $2 to rent each movie. How many movies can a member rent in one month and spend at most $24? What linear inequality with variable x represents this situation, and what is the solution to that inequality? Enter the solution as an inequality using x. Enter your answers in the boxes. Inequality: Solution:

Answer 1

The inequality is 2x + 10 ≤ 24.

A member can rent at most 7 movies in month for a total of $24.

Explanation:

Let x = number of movies.

The cost of x movies is 2x, since each movie costs $2.

Membership fee = $10 per month.

Total cost = cost of the movies + membership fee = 2x + 10

The inequality is:

2x + 10 ≤ 24

2x + 10 ≤ 24

2x ≤ 14

x ≤ 7