Final answer:
Chelsey can be a member of the fitness club for up to 10 months with her budget.
Step-by-step explanation:
To find the number of months Chelsey can be a member of the fitness club, we need to determine how many monthly fees she can afford to pay with her budget. Let's set up an equation to represent this:
55 + 19.50x ≤ 250
Where x represents the number of months. Now, solve the equation to find the value of x:
19.50x ≤ 250 - 55
19.50x ≤ 195
x ≤ 195 ÷ 19.50
x ≤ 10
Therefore, Chelsey can be a member for a maximum of 10 months with her budget.