Question 119489
option 1: {{{C[1] = 42 + 5x}}}
Option 2: {{{C[2] = 8.5x}}}
option 1 < option2
{{{42 + 5x < 8.5x}}}
{{{42 < 3.5x}}}
{{{42/3.5 < x}}}
{{{x > 12}}}
In order for option 1 to be less expensive than option 2, 
the option 1 court must be rented for more than 12 hours
check:
What if they're both rented for 12 hrs?
{{{C[1] = 42 + 5x}}}
{{{C[1] = 42 + 5*12}}}
{{{C[1] = 102}}}
{{{C[2] = 8.5*12}}}
{{{C[2] = 102}}}
What if they're both rented for 13 hours?
{{{C[1] = 42 + 5*13}}}
{{{C[1] = 107}}}
{{{C[2] = 8.5*13}}}
{{{C[2] = 110.5}}}
As you can see, option 1 is now $3.50 cheaper than option 2.