A local gym charges nonmembers $10 per hour to use the tennis courts.
Members pay a yearly fee of $300 and $4 per hour for using the tennis
coutrs. Write an equation to find how many hours, h, you must
use the tennis courts to justify becoming a member.
300 divided by 4 - 75 --- is the equation
therefore 75 hours
thanks
No problem=)
Hello was wrong
you asked for an equation containing h
so
10h = 4h + 300
solving this
10h-4h = 300
6h = 300
h = 50
the break-even point is 50 hours
check:
non-member: 50 hours = 10(50) = 500
member : 300 + 50(4) = 500
a local gym charges nonmembers $10 per hour to use the tennis court. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how many hours, h, you must use the tennis courts to justify becoming a member.
To write an equation to find how many hours you must use the tennis courts to justify becoming a member, we need to compare the cost for a non-member with the cost for a member.
For a non-member, the cost is $10 per hour.
For a member, the cost is $300 per year plus $4 per hour.
Let's represent the number of hours you must use the tennis courts as "h".
For a non-member: Cost = $10 per hour = $10h
For a member: Cost = $300 + $4 per hour = $300 + $4h
To determine when it becomes more cost-effective to be a member, we need to find the point where the cost for a non-member and a member are the same.
So, we can set up the equation:
$10h = $300 + $4h
Simplifying the equation, we get:
6h = $300
Dividing both sides by 6, we find:
h = $300 / 6
h = 50
Therefore, you would need to use the tennis courts for at least 50 hours to justify becoming a member.