A car travels 180 miles using 6 gallons of fuel. How many gallons of fuel are needed to travel 450 miles? Set up the proportion and solve for the amount of fuel. The number of gallons needed is ______ gallons.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to set up and solve a proportion problem involving fuel consumption.
Key Concept Explanation
Proportions are used to compare two ratios and find an unknown value. In this case, the ratio of miles traveled to gallons of fuel is constant, so we can set up a proportion to find the unknown amount of fuel.
Step-by-step Solution
1. Set up the proportion:
2. Cross-multiply:
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