A sailboat rental company charges a fee of $78.75 plus $80.25 per hour to rent a sailboat. A second rental company charges customers a fee of $40 plus $95.75 per hour to rent a sailboat. How many hours would a customer have to rent a sailboat in order for both companies to charge the same total amount?

3.69 hours

Step-by-step explanation:

y = 80.25x + 78.75

y = 95.75 + 40

85.25x + 78.75 = 95.75 + 40

-85.25x   -40        -85.25x  -40

38.75/10.5 = 10.5x/10.5

3.690476190 = x

rounding

3.69 = x

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f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50