In total you have $20.
Base fare of taxi is $5.
Per mile cost is $2.50.
Your total cost is [tex]5+2.5x[/tex] 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:
[tex]5+2.5x\leq 20[/tex]
To find how many miles we can write, let's solve the inequality:
[tex]5+2.5x\leq20\\2.5x\leq20-5\\2.5x\leq15\\x\leq\frac{15}{2.5} \\x\leq6[/tex].
This means 6 is the maximum number of miles you can ride with $20.
ANSWER: Maximum 6 miles
