Question

A pool charges $4 each visit or you can buy a membership. Right and solve an inequality to find how many times a person should use a pool so that the membership is less expensive than paying each time. Interpret the solution

Answer 1

The inequality is:

$n > \frac{m}{4}$

Membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount

Solution:

Given that,

A pool charges $4 each visit or you can buy a membership

Let "n" be the number of times you visit the pool

Let the membership amount of the pool be "m"

A pool charges $4 each visit

Therefore, cost for "n" visit is: $ 4n

The inequality showing that a membership is less expensive than paying each visit to the pool is:

4n > m

Divide both sides by "4"

$n > \frac{m}{4}$

Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount