Question

Alexis wants to take dance lessons over the summer. It costs a flat fee of $50.00 to

use the studio's facilities, then an additional $20.00 for each lesson. If Alexis has
$150.00, write an inequality that describes the number of lessons, x, Alexis can
take within her budget.

Answer 1

5 Dance lessons

Explanation:

The cost of taking x dance lessons is 50 + 20x dollars. This should be less than or equal to the amount of money Alexis has, which is 150 dollars. We can represent this relationship with the following inequality:

50 + 20x ≤ 150

This inequality can be simplified to the following:

20x ≤ 100

Dividing both sides of the inequality by 20 gives us the following:

x ≤ 5

Therefore, Alexis can take up to 5 dance lessons within her budget.