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Chapter 6: Problem 90

A car can be rented from Basic Rental for \(\$ 60\) per week plus 50 cents for each mile driven. How many miles can you travel if you can spend at most \(\$ 600\) for the week?

Short Answer

Expert verified
If you can spend at most \(\$600\) for the week, you can travel up to 1080 miles.

Step by step solution

01

Identify the Constants and Variables

The weekly rate from Basic Rental is \(\$60\), and the per-mile cost is \(\$0.50\). The maximum budget for the week is \(\$600\). Here, the unknown is the number of miles that can be driven, which can be denoted by \(m\). So, the equation can be framed as follows: \(60 + 0.5m \leq 600\).
02

Simplify the Equation

To isolate \(m\) represents the number of miles of driving, we first subtract \(60\) (the cost of the weeks car rental) from each side of the equation. This results in the equation: \(0.5m \leq 540\).
03

Solve for \(m\)

Finally, to isolate the \(m\), divide both sides of the inequality by \(0.5\), giving: \(m \leq 1080\). So a person can drive up to 1080 miles.

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