Choose the answer that validates the rate of change is constant by showing that the ratios of the two quantities are proportional and equivalent to the unit rate number of miles number of hours time 2 hours 4 hours 6 hours 8 hours distance traveled 5.5 11 16.5 22

Question

Choose the answer that validates the rate of change is constant by showing that the ratios of the two quantities are proportional and equivalent to the unit rate number of miles number of hours time 2 hours 4 hours 6 hours 8 hours distance traveled 5.5 11 16.5 22

Answer 1

To determine if the rate of change is constant, we need to check if the ratios of distance traveled to time are consistent.

For 2 hours:
Distance traveled = 5.5 miles
Ratio of distance traveled to time = 5.5 miles / 2 hours = 2.75 miles/hour

For 4 hours:
Distance traveled = 11 miles
Ratio of distance traveled to time = 11 miles / 4 hours = 2.75 miles/hour

For 6 hours:
Distance traveled = 16.5 miles
Ratio of distance traveled to time = 16.5 miles / 6 hours = 2.75 miles/hour

For 8 hours:
Distance traveled = 22 miles
Ratio of distance traveled to time = 22 miles / 8 hours = 2.75 miles/hour

As we can see, the ratios of distance traveled to time are consistent for each given time interval, and they are all equal to 2.75 miles/hour. Therefore, this validates that the rate of change is constant.