Answer:
20 times
Step-by-step explanation:
Let's form two expressions relating the amount you would pay in each scenario:
• If we consider [tex]x[/tex] to be the number of times you use the pool, and you pay $2 each time with a $75 membership fee, then
total cost = [tex]\boxed{2x + 75}[/tex]
• If you pay $5 each time with a $15 membership fee, then
total cost = [tex]\boxed{5x + 15}[/tex]
According to the question, the two costs should be equal.
∴ [tex]2x + 75 = 5x + 15[/tex]
Now we have to solve for [tex]x[/tex]:
⇒ [tex]75 = 5x+ 15 - 2x[/tex] [subtracting [tex]2x[/tex] from each side]
⇒ [tex]75 = 15 + 3x[/tex]
⇒ [tex]60 = 3x[/tex] [subtract 15 from each side]
⇒ [tex]20 = x[/tex]
∴ [tex]x = \bf 20[/tex]
This means that you must visit the pool 20 times for the costs to be equal.
