Answer:
Chelsey can be a member of the fitness club for 10 months.
Explanation:
Given:
Chelsey wants to join a fitness club.
The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.
She has $250 to spend on a membership at the fitness club.
Now, to find the number of months Chelsey can be a member of the fitness club.
Let the number of months Chelsey can be a member of the fitness club be

Monthly fee = $19.50.
Membership fee = $55.
Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:


Subtracting both sides by 55 we get:

Dividing both sides by 19.50 we get:

Therefore, Chelsey can be a member of the fitness club for 10 months.