A local gym charge nonmembers $ 19 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write and solve an equation to find how many hours you must use the tennis courts to justify becoming a member.
Member pays 300 + 4 x
guest pays 19 x
when are they the same?
19 x = 4 x + 300
15 x = 300
You can take it from there I think.
To find how many hours you must use the tennis courts to justify becoming a member, we need to compare the costs for nonmembers and members.
For nonmembers, the cost is $19 per hour.
For members, the cost consists of the yearly fee of $300 plus $4 per hour.
Let's assume x represents the number of hours you need to use the tennis courts.
For nonmembers: Cost = $19 * x
For members: Cost = $300 + $4 * x
To find the equation, we need to set the costs equal to each other:
$19 * x = $300 + $4 * x
Now we can solve for x.
Subtract $4 * x from both sides:
$19 * x - $4 * x = $300
Combine like terms:
$15 * x = $300
Divide both sides by $15:
x = $300 / $15
Simplifying further:
x = 20
Therefore, you would need to use the tennis courts for a minimum of 20 hours to justify becoming a member.