Q1. Alfredo wants to rent a truck to move to Florida. The rental company charges $25 per day and $0.20 per mile. He will need the truck for three days and has a $350 budget. How far can he travel for a rental cost of exactly $350?

Background

Topic: Linear Equations and Word Problems

This question tests your ability to set up and solve a linear equation based on a real-world scenario involving costs and budgets. You'll need to translate the word problem into an algebraic equation and solve for the unknown variable (the number of miles Alfredo can travel).

Key Terms and Formulas

• Daily rental cost: $25 per day

• Mileage cost: $0.20 per mile

• Total rental cost: $350

• Let = number of miles Alfredo can travel

The equation for total cost is:

Or, in algebraic form:

Step-by-Step Guidance

1. Identify the known values: daily rate = $25, number of days = 3, cost per mile = $0.20, total budget = $350.

2. Set up the equation for the total cost: .

3. Calculate the fixed cost for the three days: .

4. Substitute this value into the equation: .

5. Isolate the variable by subtracting $75.

Try solving on your own before revealing the answer!