Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same?
The total cost for each health club will be the same after ___ months. (Type a whole number.)
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Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same?
The total cost for each health club will be the same after ___ months. (Type a whole number.)
To solve the problem, we need to set up an equation based on the costs of the two health clubs.
1. Let’s assume the first health club charges a monthly fee of (C_1) and has an initial fee of (F_1).
2. The second health club charges a monthly fee of (C_2) with an initial fee of (F_2).
To find when the total costs are equal, we can set up the equation:
[
F_1 + C_1 cdot m = F_2 + C_2 cdot m
]
Where (m) is the number of months. Rearranging gives:
[
F_1 – F_2 = (C_2 – C_1) cdot m
]
Now we can solve for (m):
[
m = frac{F_1 – F_2}{C_2 – C_1}
]
It’s important that the denominator is not zero (meaning the monthly fees are different). The answer will be a whole number based on the initial and monthly fees you have for each health club.
Please provide the specific fees for each health club, and we can calculate the exact value of (m)!