# 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.

QUESTION POSTED AT 16/04/2020 - 06:12 PM

QUESTION POSTED AT 16/04/2020 - 06:12 PM

In total you have **$20.**

Base fare of taxi is **$5.**

Per mile cost is **$2.50.**

Your total cost is 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:

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

.

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

**ANSWER: Maximum 6 miles**

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