Two rental car companies rent subcompact cars at a discount

Two rental car companies rent subcompact cars at a discount. Company A rents for $14.95 per day plus 22 cents per mile. Company B rents for $18.95 a day plus 18 cents per mile. Let x represent the number of miles driven in one day.

The cost to rent a subcompact car for one day from Company A is: Cost_A = 14.95 + 0.22x

The cost to rent a subcompact car for one day from Company B is: Cost_B = 18.95 + 0.18x

a. Write an inequality that expresses the number of miles, x, for which the daily cost to rent from Company A is less than the daily cost to rent from Company B.

b. Solve the inequality in part (a).

Solution

a)14.95+.22x<18.95+.18x

b)solving a) we obtain

.04x<4 therefore x<100