Question

Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven. EconoCar charged a flat fee of $344 plus $0.35 per mile driven. Which equation is written correctly, for the company he used to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal. Group of answer choices

Answer 1

A. 386 + .20m = 344 + .35m

280 miles

Explanation:

A. 386 + .20m = 344 + .35m

B. 344 + .20m = 386 + .35m

C. 344 + 20m = 386 + 35m

D. 386 + 20m = 344 + 35m

Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven.

Right price auto = fixed charge + variable charge

= 386 + .20m

Where m = number of miles

EconoCar charged a flat fee of $344 plus $0.35 per mile driven.

EconoCar = fixed charge + variable charge

= 344 + .35m

Where m = number of miles

Equate the total charges of both auto-rental agencies

Right price auto = EconoCar

386 + .20m = 344 + .35m

Collect like terms

386 - 344 = .35m - .20m

42 = .15m

Divide both sides by .15

m = 42 / .15

= 280

m = 280 miles