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Chapter 2: Q. 54 (page 102)

An economy car rented in Florida from
National Car Rental on a weekly basis costs \(95per week. Extra days cost \)24per day until the day rate exceeds the weekly rate, in which case the weekly rate applies. Also, any part of a day used counts as a full day. Find the cost Cof renting an economy car as a function of the number x of days used, where 7...x...14. Graph this function.

Short Answer

Expert verified

The cost function for the renting an economy car is given by,

C(x)=24x-73,7鈮�x鈮�1113.57x+41.71,11<x鈮�14

The graph of the function is represented as:

Step by step solution

01

Step 1. Given

The charge for weekly basis is $95per week.

Extra days cost $24per day until the day rate exceeds the weekly rate, in which case the weekly rate applies.

To find the cost Cof renting an economy car as a function of the number xof days used, where 7...x...14

To graph the function.

02

Step 2. Find the cost function

From the given,

for x>7, the extra days exceeds the weekly days after four days, so for 7鈮�x鈮�11, the cost function is,

C(x)=95+24(x-7)=95+24x-168=24x-73

03

Step 3. Find the cost function

The cost function for 11<x鈮�14is,

C(x)=95+4(24)+957(x-11)=95+96+95x7-10457=191+95x7-10457=13.57x+41.71

04

Step 4. The cost function

The cost function can be expressed as,

C(x)=24x-73,7鈮�x鈮�1113.57x+41.71,11<x鈮�14

05

Step 5. Graph the function

The graph of the function is represented as:

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Most popular questions from this chapter

An open box with a square base is required to have a volume of 10 cubic feet.

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Use the given graph of the function f to answer parts (a) 鈥� (n).

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(f) For what values of x is localid="1650172833683" fx<0?

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Wind Chill The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is

W={t0鈮�v<1.7933-(10.45+10v-v)(33-t)22.04,1.79鈮�v鈮�2033-1.5958(33-t),v>20

where vrepresents the wind speed (in meters per second) and trepresents the air temperature . Compute the wind chill for the following:

(a) An air temperature of localid="1645962228946" 10掳Cand a wind speed of 1 meter per second localid="1645962235368" (m/sec)

(b) An air temperature of localid="1645962241584" 10掳Cand a wind speed of localid="1645962248218" 5m/sec

(c) An air temperature of localid="1645962254138" 10掳Cand a wind speed of localid="1645962259043" 15m/sec

(d) An air temperature of localid="1645962265610" 10掳Cand a wind speed of localid="1645962274629" 25m/sec

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