5) A car rental company offers two plans for one way rentals. Plan I charges $36 per day and 17 cents per mile. Plan II charges $24 per day and 25 cents per mile. a. If you were to drive 300 miles in a day, which plan is better? b. For what mileage are both rates equal?

a. Plan I is better is we drive 300 miles in a day.

b. 150 miles.

Explanation:

a. if mileage is 300 then rental charges will be,

Plan I : $36 + 17 cents * miles

$36 + 0.17 * 300 = $41.10.

Plan II : $24 + 25 cents * miles

$24 + 0.25 * 300 = $99.00

Plan I total cost for 300 miles is $41.10 whereas Plan II total cost for 300 miles is $99.00. Plan I is better plan and cost effective.

b. For mileage (m) calculation we will use equation;

Plan I = Plan II

$36 + 0.17m = $24 +0.25m

0.25m - 0.17m = $36 - $24

m = $12 / 0.08

m = 150 miles.