Hi, I am in 8th grade and I think I know the answer but I just want to check with everyone.
A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function to the length of membership (in months). Find the total cost of a membership after 10 months.
Im just a little unsure of my answer, but just checking if anyone else could guide me more.
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The total cost (TC) of the gym membership is composed of:
1. the amount of the initial membership fee that is paid once, right at the beginning of membership. You don't say what that amount is, so I'll call it O for one-time payment.
2. the monthly fee paid each month during the membership. I'll call that F.
3. the number of months that a person is a member. I'll call that M.
TC = O + (F x M)
For example, suppose the one-time initial membership fee is $70, the monthly fee is $30, and you've been a member for 6 months:
TC = $70 + ($30 x 6)
TC = $70 + $180
TC = $250
For your example, just plug your numbers in the equation. The only number you don't know is the one-time initial fee, so that is what you are solving for:
$250 = O + ($35 x 6)
$250 = O + $210
$40 = O
nicely, all of us comprehend that the hypotenuse is 10, so: 10^2 = a^2 + b^2 And if a is the area from the floor to the suitable of the ladder, then a - 2 is the area from the bottom of the ladder to the wall, so: one hundred = (a - 2)^2 + a^2 one hundred = a^2 - 4a + 4 + a^2 a^2 - 2a - 40 8 = 0 (a - 8)(a + 6) = 0 a = 8, meaning the area from the floor to the suitable of the ladder is 8 feet, and the area from the bottom of the ladder to the construction is six feet. solid success, insha'Allah. :)