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 asks for the number of gallons of gasoline Ivan's car will use to drive from City 1 to City 2 based on a provided map scale and his car's mileage. The user is expected to measure the distance on the map and calculate gasoline consumption accordingly.
Answer
40 gallons
Answer for screen readers
Let’s assume the measured distance from City 1 to City 2 is 4 inches.
Then, $$\text{Gallons used} = 4 \times 10 = 40 \text{ gallons}$$
So, Ivan's car will use 40 gallons of gasoline.
Steps to Solve
- Measure the Distance on the Map
Use a ruler to measure the distance between City 1 and City 2. Let's say the measurement is $d$ inches.
- Convert Inches to Miles Using the Scale
According to the scale, 1 inch on the map represents 200 miles. Therefore, the distance in miles can be calculated as: $$ \text{Distance in miles} = d \text{ inches} \times 200 \text{ miles/inch} $$
- Calculate the Gallons of Gasoline Used
Ivan's car uses gasoline at a rate of 20 miles per gallon. To find out how many gallons of gasoline he will use for the trip, use the formula: $$ \text{Gallons used} = \frac{\text{Distance in miles}}{\text{Miles per gallon}} = \frac{d \times 200}{20} $$
- Simplify the Gallons Calculation
Reorganizing the equation:
$$
\text{Gallons used} = \frac{d \times 200}{20} = d \times 10
$$
- Determine the Number of Gallons
Substituting the measured distance $d$ (in inches) into the formula will give the total gallons used.
Let’s assume the measured distance from City 1 to City 2 is 4 inches.
Then, $$\text{Gallons used} = 4 \times 10 = 40 \text{ gallons}$$
So, Ivan's car will use 40 gallons of gasoline.
More Information
Ivan's car uses gasoline at a rate of 20 miles per gallon, which is vital for calculating the total gallons used for the trip based on the distance measured from the map.
Tips
- Not using the scale correctly: Ensure that you know how many miles are represented by an inch on the map.
- Confusing miles and gallons: Make sure to convert the distance correctly before calculating fuel consumption.
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