SOLUTION: a family decides to rent a boat for the day while on vacation. the boat's rental rate is $500 for the first two hours and $50 for each additional half hour. suppose the family can

    Let C(t) be the non-linear function defined by these two lines

         
        C(t)  = 500,            if 0 <= t <= 2,

        C(t)  = 500+100*(t-2),  if t > 2.
         

    where t is the time in hours.


    Then the inequality the problem asks for is


        C(t) <= 900.


    The solution set for this inequality is the time interval [,],  which is [0, 6].