word problems
gym membership is $300 yearly plus $4 per visit. non-members pay $10 per visit. how many hours would a person go to make it worthwhile to purchase a membership?
gym membership is $300 yearly plus $4 per visit. non-members pay $10 per visit. how many hours would a person go to make it worthwhile to purchase a membership?
If x= the number of visits and 300= the flat fee, then you can set up the equation for membership as y= 4x+300.
If x= the number of visits again, then the non-members can be
y= 10x.
You should set these two equations equal to each other since you have to find the number of visits that make them both worthwhile.
So you get:
4x+ 300= 10x
-4x -4x
300= 6x
/6 /6
50=x or x=50
This means that 50 visits would make the cost for both members and non-members the same. But, you want to know how much will make the membership more worth it, so you would just add 1 to 50.
50+1= 51
Your final answer is 51 visits.
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