Question

One car rental agency rents a mid dash size car at a daily rate of ​$36.95 plus 36 cents per mile. Another company rents a mid dash size car for ​$44.95 plus 26 cents per mile. Find the mileage for which the cost is the same. For what mileage is the cost the​ same?

Answer 1

Answer:

80 miles

Explanation:

Data provided in the question:

Rental of the first agency = $36.95 + 36 cents per mile

or

= $36.95 + $0.36 per mile                   [as $1 = 100 cents ]

Rental of the second agency = $44.95 + 26 cents per mile

or

= $44.95 + $0.26 per mile  

now,

let the mileage be 'x' miles

therefore,

the cost for the first agency will be = $36.95 + ( 0.36 × x )    ............(a)

and,

the cost for the second agency will be = $44.95 + ( $0.26 × x )    ........(b)

for the equal mileage, equating (a) and (b)

$36.95 + ( 0.36 × x ) = $44.95 + ( $0.26 × x )

or

( $0.36 - $0.26 ) × x = $44.95 - $36.95

or

0.1x = 8

or

x = 80 miles