Question

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

Answer 1

To write the inequality, lets use x as number of visits, and m as cost of membership.

4x > m

So, if a person visits at x times at 4 dollars a time, it will cost more than paying m for the membership fee.

Answer 2

Explanation:

Let the number of visits to a pool = n

Charges of n visits = Number of visits × Charges per visit

= n × $4

= 4n

Let the membership amount of the pool = $m

So the inequality showing that a membership is less expensive than paying each visit to the pool will be

4n > m

Now we divide the inequality by 4

n >
`(m)/(4)`

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