For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 250 mile in 10 hours , how many miles does it travel in 7 hours?
Let's use the formula for direct variation to solve the problem.
The formula for direct variation is: distance = constant * time
First, find the constant of variation. We can do this by dividing the distance traveled by the time spent driving:
constant = distance / time
constant = 250 miles / 10 hours
constant = 25 miles/hour
Now, we can use this constant to find the distance traveled in 7 hours:
distance = constant * time
distance = 25 miles/hour * 7 hours
distance = 175 miles
Therefore, the car travels 175 miles in 7 hours.