Question

Amelia can spend no more than​ $89 to rent a car for a day trip. A rental car costs​ $35 per day plus​ $0.20 per mile. Write and solve an inequality to find the possible distance in miles m that Amelia can drive without exceeding her budget.

An inequality that represents the situation is So, Amelia can​ drive, at​ most, miles.

Answer 1

Answer:

she could go 12 miles and has $5 to spare

Step-by-step explanation:

Answer 2

Answer:

"An inequality that represents the situation is  $35+0.20m\leq 89$. So, Amelia can​ drive, at​ most, 270 miles.

Step-by-step explanation:

First, I wrote the inequality in words.

    cost of day + cost for driving m miles ≤ budget

​Next, I completed the inequality with the information from the problem statement.

    cost of day + cost for driving m miles ≤ budget

        35    +      0.20m      ≤     89

​So, an inequality that represents the situation is 35+0.20m ≤ 89.

​Now, we solve the inequality. I began by isolating the​ m-term on the left side of the inequality using the Subtraction Property of Inequality.

            35 + 0.20m ≤ 89

       35 - 35 + 0.20m ≤ 89 - 35

                   0.20m ≤ 54

To finish solving for​ m, use the Division Property of Inequality.

                   0.20m ≤ 54

                   $\frac{0.20m}{0.20} \leq \frac{54}{0.20}$

                      m ≤ 270

 So, Amelia can drive, at most, 270 miles.