Question

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

Answer 1

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

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