A local gym charges nonmembers $8 per day to use the voleyball courts. Members pay a yearly fee of $150 and $2 per day to use the voleyball courts. Write and solve an equation to find how many days you must use the voleyball court to justify becoming a member.
Can you please show me how to write and solve one? Thanks a lot!
I see it as
8d = 2d + 150
6d = 150
d = 25
check
25 days at $8 = 200
25 days at $2 + $150 membership = 50 + 150 = 200
thanks again! :)
Sure! To find out how many days you must use the volleyball court to justify becoming a member, we need to compare the costs for nonmembers and members.
Let's consider x as the number of days you want to use the volleyball court. For nonmembers, the cost per day is $8, so the total cost for nonmembers would be 8x.
For members, there is both a yearly fee of $150 and a daily fee of $2. The total cost for members would be 150 + 2x.
To justify becoming a member, we want the total cost for members to be less than or equal to the total cost for nonmembers. Therefore, we can write the equation:
150 + 2x ≤ 8x
Now, let's solve the equation:
Subtract 2x from both sides of the equation:
150 ≤ 6x
Next, divide both sides of the equation by 6:
25 ≤ x
Therefore, if you plan to use the volleyball court for 25 or more days, it would be more cost-effective to become a member.