A businessman intends to rent a car for a 4-day business trip. The rental is $45 a day and 25¢ per mile (Plan 1) or $110 a day with unlimited mileage (Plan 2). He is not sure how many miles he will drive but estimates that it will be between 940 and 1140 miles. (a) For each plan, find a linear function C that models the cost  C(x)  (in dollars) in terms of the number x of miles driven. Plan 1     C1(x)  =        Plan 2     C2(x)  =        (b) Which rental plan is cheaper if the businessman drives 940 miles? Plan 1Plan 2     Which rental plan is cheaper if the businessman drives 1140 miles? Plan 1Plan 2     At what mileage do the two plans cost the same?  mi

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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A businessman intends to rent a car for a 4-day business trip. The rental is $45 a day and 25¢ per mile (Plan 1) or $110 a day with unlimited mileage (Plan 2). He is not sure how many miles he will drive but estimates that it will be between 940 and 1140 miles.

(a) For each plan, find a linear function C that models the cost 
C(x)
 (in dollars) in terms of the number x of miles driven.
Plan 1     C1(x)  = 
 
 
 
Plan 2     C2(x)  = 
 
 
 


(b) Which rental plan is cheaper if the businessman drives 940 miles?
Plan 1Plan 2    

Which rental plan is cheaper if the businessman drives 1140 miles?
Plan 1Plan 2    

At what mileage do the two plans cost the same?
 mi
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