Answer:
the total cost for both clubs will be the same after 4 months, and the total cost will be $104 for each club.
Explanation:
Let's assume that the number of months for which the total cost is the same is "m".
For Club A, the total cost after "m" months is given by:
Total cost for Club A = $24 + $20m
For Club B, the total cost after "m" months is given by:
Total cost for Club B = $16 + $22m
To find out when the total cost for both clubs will be the same, we can set the two expressions equal to each other and solve for "m":
$24 + $20m = $16 + $22m
Simplifying this equation, we get:
$8 = $2m
m = 4
Therefore, the total cost for both clubs will be the same after 4 months.
To find the total cost for each club after 4 months, we can substitute "m = 4" in the expressions we derived earlier:
Total cost for Club A = $24 + $20 x 4 = $104
Total cost for Club B = $16 + $22 x 4 = $104
So, the total cost for both clubs will be the same after 4 months, and the total cost will be $104 for each club.