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

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(52778) (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~

8 hours and 24 minutes is  8 hours,  or  8  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.

RELATED QUESTIONS
The airport parking lot charges different rates for different lengths of time. One hour... (answered by stanbon)

The airport parking lot charges different rates for different lengths of time. One hour... (answered by edjones)

The airport parking lot charges different rates for different lengths of time. One hour... (answered by chiexpert)

The airport parking lot charges different rates for different lengths of time. One hour... (answered by Mathtut)

The airport parking lot charges different rates for different lengths of time. One hour... (answered by ikleyn)

If one hour in short term parking is $5 and additional hours $3; if any car parked longer (answered by ewatrrr)

Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his (answered by Boreal)

The ratio of the number of long term parking spaces to the number of short term parking... (answered by josgarithmetic)

the parking cost at the local airport (in dollars) is C=2+1.75(h-1), where h is the... (answered by Fombitz)