Q | \'.dl 61% a 3:02 PM mathwebwork2.bc.ta O _ Asmt 07 Rates. Linear Problem 8 P

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Q | '.dl 61% a 3:02 PM mathwebwork2.bc.ta O _ Asmt 07 Rates. Linear Problem 8 Previous Problern Lisl Nexl (1 point) A car rental company offers two plans for renting a car. Plan A: 22 dollars per day, 34 cents per km Plan B: 48 clollars per dlay. first 70 km free, 8 cents per additional km For what mileage will plan B save you money? Round your answer to at least 3 significant figures and include unit. The mileage must be at least 8.35 km Preview My AnswerS Submit Answers You have attempted this problem 8 times. Your overall recorded score is 0%. You have unlimitedl attempts remaining Back Ferward Hm Gokmarks Tahs

Explanation / Answer

let number of miles driven be x

cost using planA:

C(x)= 22+ 0.34x

cost using planB

C(x)=48 , 0x70

C(x)= 48+ 0.08(x-70) , x>70

plan B saves money => cost using planB is less than cost using planA

for x 70, cost of plane A> cost of plan B. so x has to be greater than 70

48+ 0.08(x-70) <22+ 0.34x

=> 48+ 0.08x-5.6 <22+ 0.34x

=> 42.4+ 0.08x <22+ 0.34x

=> 0.34x -0.08x>42.4-22

=> 0.26x >20.4

=>x>20.4/0.26

=>x>78.46

the mileage must be atleast 78.5 km

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