Calculating Distance with Gasoline

The video tutorial explains how to calculate the distance a car can travel on a given amount of gasoline and how much gasoline is needed to travel a specific distance. It introduces the concept of rates, such as miles per gallon and gallons per mile, and demonstrates how to use these rates to solve two problems: determining the distance possible with 45 gallons of gasoline and the amount of gasoline needed to travel 1,500 miles. The tutorial includes step-by-step calculations and rounding instructions, providing a clear understanding of the process.

What is the initial problem presented in the video?

• Calculating the cost of gasoline

• Finding out how far a car can drive on a certain amount of gasoline

• Determining the fuel efficiency of a car

• Calculating the speed of a car

Which rate should be used to calculate the distance that can be driven with a specific amount of gasoline?

• Miles per gallon

• Gallons per mile

• Miles per hour

• Gallons per hour

How many miles can you drive on 45 gallons of gasoline?

• 1,200 miles

• 800 miles

• 984 miles

• 1,000 miles

What is the first step in calculating the distance for 45 gallons of gasoline?

• Write 45 gallons as a fraction

• Divide by the rate of 350 miles per 16 gallons

• Convert gallons to liters

• Multiply by the rate of 16 gallons per 350 miles

What is the purpose of using parentheses in the calculation?

• To ensure correct order of operations

• To convert units

• To simplify the expression

• To round the result

What is the next step after writing 1,500 miles as a fraction?

• Multiply by the rate of 350 miles per 16 gallons

• Multiply by the rate of 16 gallons per 350 miles

• Divide by the rate of 16 gallons per 350 miles

• Convert miles to kilometers

How many gallons are needed to drive 1,500 miles?

• 75 gallons

• 70 gallons

• 68.6 gallons

• 60 gallons

What is the significance of rounding in the calculations?

• To make the numbers easier to remember

• To ensure accuracy in the final result

• To simplify the calculation process

• To adjust for measurement errors

What is the rate used to calculate the gasoline needed for 1,500 miles?

• 350 miles per 16 gallons

• 16 gallons per 350 miles

• 45 gallons per 350 miles

• 1,500 miles per 16 gallons

Why is it important to simplify units in these calculations?

• To reduce the number of steps

• To make the calculation faster

• To ensure the correct units are used in the final answer

• To avoid using a calculator