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Linda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $114 and allows unlimited mileage,
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven
For what mileages will Company A charge less than Company B?
Usem for the number of miles driven, and solve your inequality for m.

Respuesta :

Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

 

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

 

so,

   93  ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

  28   ≤ 0.70*m

28*10 ≤ 7 *m

280     ≤ 7m

280/7  ≤ 7m/7

    40  ≤ m

Ans: greater than 40 mileage  Company A will charge less than Company B

Step-by-step explanation:

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