Question

Leah wants to sign up for a membership at a gym. The gym charges a one-time $50 fee to sign up, and then charges $20 per month. Write an inequality for the number of months Leah can be a member if she can only spend at most $300 at the gym.

A) 20m+50≤300
B) 20m≤250
C) 20m−50≤300
D) 20m≥250

Answer 1

The correct inequality that represents how many months Leah can be a member of the gym without exceeding her budget of $300 is A) 20m+50 ≤ 300, where m represents the number of months. the correct inequality from the options provided is:

A) 20m+50 ≤ 300

Step-by-step explanation:

The student has asked for an inequality to express the number of months Leah can be a member of a gym, given a one-time sign-up fee and a monthly charge, with a total budget of $300. We denote the number of months Leah plans to attend the gym as m. According to the problem, there is a one-time sign-up fee of $50 and a monthly charge of $20.

The total amount Leah can spend for the gym membership including the sign-up fee and the monthly charges can be expressed as $50 + $20m, where m is the number of months. The inequality that represents Leah's budget constraint for her gym membership would be:

50 + 20m ≤ 300

Thus, the correct inequality from the options provided is:

A) 20m+50 ≤ 300