Joel is looking for costs for using a gym he could pay 50 per month for unlimited use or he could pay 12 per month plus 4 per visit how many visits would he have to make each month to make the 50 per month unlimited use option the cheapest one

He will have to make 9.5 visits to meet the 50 per month option, meaning any visit above 9.5 will be more expensive than option 1

Step-by-step explanation:

This can be expressed as;

unlimited use=Monthly charge+Total visit charges

where;

Make Unlimited use be Option 1, and (Monthly charge+Total visit charges) be Option 2

The unlimited use=50 per month

Monthly charge=12 per month

Total visit charges=Constant charge per visit*number of visits (n) = (4*n) = 4n

Replacing;

50=12+4n

4n=50-12

4n=38

n = (38/4) = 9.5 visits

He will have to make 9.5 visits to meet the 50 per month option, meaning any visit above 9.5 will be more expensive than option 1