The average rate of change for the distance driven from 0 seconds to 4 seconds is 36.9 meters per second and the average rate of change for the distance driven from 6 seconds to 9 seconds is 33.9 meters per second
How to determine the average rates of change?
The average rate of change for the distance driven from 0 seconds to 4 seconds
The average rate of change is calculated as:
Rate = [f(b) - f(a)]/[b - a]
Where
a and b are the bounds of the intervals
So, we have:
a = 0 and b = 4
This gives
Rate = [f(4) - f(0)]/[4 - 0]
Using the table of values, we have:
Rate = [147.6 - 0]/[4 - 0]
Evaluate
Rate = 36.9
Hence, the average rate of change for the distance driven from 0 seconds to 4 seconds is 36.9 meters per second
The average rate of change for the distance driven from 6 seconds to 9 seconds
The average rate of change is calculated as:
Rate = [f(b) - f(a)]/[b - a]
Where
a and b are the bounds of the intervals
So, we have:
a = 6 and b = 9
This gives
Rate = [f(9) - f(6)]/[9 - 6]
Using the table of values, we have:
Rate = [287.1 - 185.4]/[9 - 6]
Evaluate
Rate = 33.9
Hence, the average rate of change for the distance driven from 6 seconds to 9 seconds is 33.9 meters per second
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