Question

A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?

Answer 1

To model the number of months that Weasley can afford to be a member of the health club, set up the inequality 75x ≤ 300 and solve for x. Weasley can afford a maximum of 4 months at the health club.

Step-by-step explanation:

To model the number of months that Weasley can afford to be a member of the health club, we can set up an inequality. Let's say x represents the number of months.

The membership fee is $75, so Weasley can afford to pay $75x.

We know that Weasley has $300 to spend, so the inequality will be:

75x ≤ 300

To find the maximum number of months Weasley can afford, we need to solve the inequality. By dividing both sides of the inequality by 75, we get:

x ≤ 4

Therefore, Weasley can afford a maximum of 4 months at the health club.