We know that
• The total money to spend is $20.
,
• The ride costs $5 plus $2.50 per kilometer.
,
• Let's call ,d ,the distance in kilometers.
Based on the given information, we write the following inequality.
[tex]5+2.50d\leq20[/tex]
Notice that $5 is an independent term since it's a fixed cost. Then, we wrote 2.50 as the coefficient of the variable d since that's the ratio of dollars per kilometers. Additionally, the inequality sign is less than or equal to since we have a restriction of $20 maximum.
Now, we solve the expression for d.
[tex]\begin{gathered} 2.50d\leq20-5 \\ 2.50d\leq15 \\ d\leq\frac{15}{2.50} \\ d\leq6 \end{gathered}[/tex]
Therefore, the maximum distance you can ride for $20 is 6 kilometers.
