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?

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

the third answer is correct.

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.