You are chosing between 2 health clubs. Club A offers a membership for $16 plus a monthly fee of $26. Club B offers a membership for $19 and a monthly fee of $25. How do i figure out when the costs will be equal and what each cost of the clubs are?
cost A = 16 + 26n
cost B = 19 + 25n
solve 26n+16 = 25n+16
and put that back into one of the above equations,
it doesn't matter which one, you should get the same answer from either one of them
thanks i have 1 more question..a rectangular lot whose perimeter is 360ft is fenced along 3 sides. An expensive fencing along the lots length is $18 per foot. An inexpensive fencing along the two widths costs only $3 per foot.The total cost of the fencing is $2400, how do i find out the lots demensions.
let the length be l
let the width be w
then 2w + 2l = 360
l = 180-w
18l + 3(2w) = 2400
18(180-w) + 6w = 2400
solve for w, put it back into l=360-2w
(I got w = 70 , l = 110)
To figure out when the costs will be equal and what each cost of the clubs are, you can set up an equation and solve it. Let's assume the number of months is represented by "x", and the total cost of club A and club B for x months are represented by "A_total" and "B_total" respectively.
For club A, the cost equation is:
A_total = $16 (membership fee) + $26 (monthly fee) * x (number of months)
For club B, the cost equation is:
B_total = $19 (membership fee) + $25 (monthly fee) * x (number of months)
Now, let's set up an equation by equating A_total and B_total:
A_total = B_total
$16 + $26x = $19 + $25x
To solve this equation, you can rearrange it and isolate the x term:
$26x - $25x = $19 - $16
Simplifying:
$x = $3
This means that after 3 months, the costs of both clubs will be equal. To find the cost of each club after 3 months, substitute x = 3 into the cost equations for both clubs.
For club A:
A_total = $16 + $26 * 3
A_total = $16 + $78
A_total = $94
For club B:
B_total = $19 + $25 * 3
B_total = $19 + $75
B_total = $94
So, after 3 months, the cost of both clubs will be equal, and it will be $94.