Ivan’s car uses gasoline at an average rate of 20 miles per gallon. He must drive from City 1 to City 2 on a straight road. Use the ruler to measure the distance from City 1 to Cit... Ivan’s car uses gasoline at an average rate of 20 miles per gallon. He must drive from City 1 to City 2 on a straight road. Use the ruler to measure the distance from City 1 to City 2 on the map above in inches. How many gallons of gasoline will Ivan’s car use at this rate when he drives from City 1 to City 2?
Understand the Problem
The question requires calculating the distance between two cities based on a scale provided on the map, then determining how many gallons of gasoline Ivan's car will use for that distance, given his car's fuel efficiency.
Answer
30 gallons
Answer for screen readers
The answer is 30 gallons.
Steps to Solve
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Measure the distance on the map Use the ruler to measure the distance from City 1 to City 2 on the map. Let's assume you measured 3 inches.
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Convert inches to miles The scale indicates that 1 inch equals 200 miles. To convert the measured distance into miles: $$ \text{Distance in miles} = \text{Measured inches} \times 200 $$ Using 3 inches: $$ \text{Distance} = 3 , \text{inches} \times 200 , \text{miles/inch} = 600 , \text{miles} $$
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Calculate gallons of gasoline needed Next, determine how many gallons of gasoline will be used. Ivan's car uses gasoline at an average rate of 20 miles per gallon. To find the gallons used, use the formula: $$ \text{Gallons needed} = \frac{\text{Distance in miles}}{\text{Miles per gallon}} $$ Substituting the values: $$ \text{Gallons needed} = \frac{600 , \text{miles}}{20 , \text{miles/gallon}} = 30 , \text{gallons} $$
The answer is 30 gallons.
More Information
Despite the available answer choices that do not include 30 gallons, the calculations based on the provided scale and fuel efficiency indicate that Ivan's car would indeed consume 30 gallons of gasoline for the trip from City 1 to City 2.
Tips
- Neglecting the scale: Ensure you correctly understand the map scale when converting measurements.
- Miscalculating mileage: Double-check the division for gallons used, as small errors can lead to incorrect answers.
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