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What Is the inequality and final answer to the problem

What Is the inequality and final answer to the problem-example-1
User George Pavelka
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1 Answer

26 votes
26 votes

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.


5+2.50d\leq20

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.


\begin{gathered} 2.50d\leq20-5 \\ 2.50d\leq15 \\ d\leq(15)/(2.50) \\ d\leq6 \end{gathered}

Therefore, the maximum distance you can ride for $20 is 6 kilometers.

User Eric Lechner
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