Question

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answer 1

0.25n>0.15n+3

Explanation:

Hi, to answer this question we have to write an inequality:

Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:

0.25n

Where n is the number of miles.

ABC Taxi charges $3 for pick-up and $0.15 per mile

So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)

3+0.15n

To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.

0.25n>0.15n+3