Suppose that the distance a car travels varies directly with the amount of gasoline it uses. This means that the greater the amount of gasoline used, the farther the car can travel. A certain car uses 19 gallons of gasoline to travel 380 miles, indicating a linear relationship between fuel consumption and distance covered.
To find out how much gasoline the car needs to travel 240 miles, we can first determine the rate at which the car consumes gasoline. We can do this by dividing the distance traveled (380 miles) by the amount of gasoline used (19 gallons): 380 miles / 19 gallons = 20 miles per gallon (mpg). This means that for every gallon of gasoline, the car can travel 20 miles.
Now that we know the car's fuel efficiency, we can calculate the amount of gasoline needed to travel 240 miles. We do this by dividing the desired distance (240 miles) by the car's fuel efficiency (20 mpg): 240 miles / 20 mpg = 12 gallons. Therefore, the car would need 12 gallons of gasoline to travel 240 miles.
It's interesting to note that the car's fuel efficiency plays a significant role in determining the amount of gasoline needed for a given distance. A more fuel-efficient car would require less gasoline to cover the same distance, ultimately saving the driver money on fuel costs and reducing the environmental impact of driving.