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If Drago is willing to spend a total of [tex]\$100[/tex] on a gym membership, how many months of membership can he get?

Choose the equation that represents this situation.

A. [tex]25m + 11 = 100[/tex]
B. [tex]11m + 25 = 100[/tex]
C. [tex]11m - 25 = 100[/tex]
D. [tex]25m - 11 = 100[/tex]

Answer :

Let [tex]$m$[/tex] be the number of months of membership Drago can get. The gym membership has:

- A fixed fee of \[tex]$25.
- A monthly fee of \$[/tex]11.

Therefore, the total cost [tex]$C$[/tex] can be written as

[tex]$$
C = 25 + 11m.
$$[/tex]

Since Drago is willing to spend a total of \[tex]$100, we set up the equation:

$[/tex][tex]$
25 + 11m = 100.
$[/tex][tex]$

This corresponds to the equation

$[/tex][tex]$
11m + 25 = 100.
$[/tex][tex]$

Thus, the correct equation that represents the situation is $[/tex][tex]$11m + 25 = 100.$[/tex]$

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