standard linear equation:
y=mx+b
Initial cost=initial value = b = 8 (Q did not say $8 is for any rental time).
additional cost per hour = m = 1.75
Equation becomes
y=1.75x+8
If the maximum charge is y=13.25, then we can solve for x, the maximum number of hours to be rented,
13.25=1.75x+8
Subtract 8 from each side
13.25-8=1.75x
5.25=1.75x
divide by 1.75
5.25/1.75=x
x=3
Connor can rent the bike for at most 3 hours.
