The red line on the graph is for fantastic fitness and after 20 months it costs over 300 dolars the blue line is for power gym zone and after 20 months it costs 250 wheb will they be the same cost

Based on the information given, it is impossible to determine when the red line (Fantastic Fitness) and the blue line (Power Gym Zone) will be the same cost as the values of the lines are not provided in the graph. However, if we assume the cost for both Fantastic Fitness and Power Gym Zone are increasing linearly and the cost for Fantastic Fitness after 20 months is over $300 and the cost for Power Gym Zone after 20 months is $250, we can set up the equation:

Cost for Fantastic Fitness = Cost for Power Gym Zone
300 + mx = 250 + nx

Where m is the rate of increase for Fantastic Fitness and n is the rate of increase for Power Gym Zone.

Solving for x (time), we get:

300 - 250 = nx - mx
50 = x(n - m)
x = 50 / (n - m)

Therefore, the cost for Fantastic Fitness and Power Gym Zone will be the same when x (time) is equal to 50 / (n - m) months.