(a)Expression for total cost (Feelgood Gym) is 1x+100
(b) Expression for total cost (Fabulous Gym ) is 3.5x+35
(c) 26 hours gives the same total cost for both gym
Given :
The Feelgood Gym has monthly membership fee of $100 and it charges an additional $1 per hour.
Let x be the hours used per month
Total cost = hours used (1 per hour ) + membership fee
Total cost for Feelgood Gym =[tex]1x+100[/tex]
Expression for total cost is 1x+100
the Fabulous Gym, which charges $35 per month and $3.50 per hour
Total cost =hours used (3.50 per hour ) + 35
Total cost for Fabulous Gym=[tex]3.50x+35[/tex]
Expression for total cost (Fabulous Gym ) is 3.5x+35
Now we graph both the equation y=1x+100 and y=3.50x+35 on same graph
then find the point of intersection of both the graphs
The graph is attached below . The point of intersection is (26,126)
The total cost is same when x=26
26 hours gives the same total cost for both gym
Learn more : brainly.com/question/19136248
