Final answer:
Christina signed up for approximately 6 months at the gym.
Step-by-step explanation:
To determine how many months Christina signed up for, we can set up an equation using the given information. Let's denote the number of months as 'm'.
The total cost for signing up is $204.87, which includes the sign-up fee of $24.99 and the monthly membership fee of $29.98. So we can write the equation as:
$24.99 + $29.98m = $204.87
To solve for 'm', we can subtract $24.99 from both sides to isolate the term with 'm':
$29.98m = $204.87 - $24.99
Next, we simplify the right side of the equation:
$29.98m = $179.88
Finally, we divide both sides of the equation by $29.98 to solve for 'm':
m = $179.88 / $29.98
m ≈ 6
Therefore, Christina signed up for approximately 6 months at the gym.