SOLUTION: The short-term (no more than 24 hours) parking fee F(in dollars) for parking xhours at O’Hare International Airport’s main parking garage can be modeled by the piecewise functi

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Question 1208082: The short-term (no more than 24 hours) parking fee F(in dollars) for parking xhours at O’Hare International Airport’s main parking garage can be modeled by the piecewise function F(x).

Top portion of F(x): 3 if 0 < x <= 3

Middle portion of F(x): 5•int(x + 1) + 1 if 3 < x < 9

Bottom portion of F(x): 50 if 9 <= x <= 24

Determine the fee for parking in the short-term parking garage for 8 hours and 24 minutes.
Answer by ikleyn(52777) About Me  (Show Source):
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The short-term (no more than 24 hours) parking fee F(in dollars) for parking x hours at
O’Hare International Airport’s main parking garage can be modeled by the piecewise function F(x).
Top portion of F(x): 3 if 0 < x <= 3
Middle portion of F(x): 5•int(x + 1) + 1 if 3 < x < 9
Bottom portion of F(x): 50 if 9 <= x <= 24
Determine the fee for parking in the short-term parking garage for 8 hours and 24 minutes.
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8 hours and 24 minutes is  824%2F60 hours,  or  82%2F5  hours,  or  8.4 hours.


So, in this problem  x = 8.4.


This value is between 3 and 9,  so we apply the middle portion of F(x).


First, we calculate x+1 = 8.4+1 = 9.4.

Then we calculate  int(9.4) = 9.

Then  F(x) = F(9.4) = 5*9+1 = 45+1 = 46.


ANSWER. The fee for parking in the short-term parking garage for 8 hours and 24 minutes is 46 dollars.

Solved.