Your family decides to take a long road trip for the summer. You will be riding in the
car while it moves at a fairly constant rate for eight hours to reach your destination.
Use the table, to predict how far the car would travel if it drove
for 10 hours instead of 8.
To predict how far the car would travel if it drove for 10 hours instead of 8, we can use the constant rate of travel for 8 hours.
Distance traveled in 8 hours = 8 hours x constant rate = 8x
To find the distance traveled in 10 hours, we can use the proportion:
8x (distance in 8 hours) = 10 hours x (distance in 10 hours)
Solving for the distance in 10 hours:
8x = 10x
8 = 10
Therefore, the car would travel a distance of 10x in 10 hours.