Question

You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Let m represent the number of miles ridden. Write an inequality to determine how many miles you can ride for $20.

Answer 1

Inequality: 5 + 2.5d ≤ 20

Maximum distance (kilometers): 6 kilometers

Answer 2

In total you have $20.

Base fare of taxi is $5.

Per mile cost is $2.50.

Your total cost is
`5+2.5x` where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:

`5+2.5x\leq 20`

To find how many miles we can write, let's solve the inequality:

`5+2.5x\leq20\\2.5x\leq20-5\\2.5x\leq15\\x\leq(15)/(2.5) \\x\leq6`.

This means 6 is the maximum number of miles you can ride with $20.

ANSWER: Maximum 6 miles