The average rate of change in distance over the entire trip, the average rate of change in distance between the 2nd and 4th hour, the 5th and 6th hour, the 6th and 8th hour are 43. 75 miles per hour, 37. 5 miles per hour, zero and 25 miles per hour respectively.
What is rate?
Rate can be defined as a ratio that compares two different quantities with different units.
For instance; the rate of change of volume with time is given as;
Rate = volume/ time
a. What is the average rate of change in distance over the entire trip
The parameters are:
Rate = Δ Distance/ Δ Time
For the total trip;
Rate = [tex]\frac{350 - 0}{8 - 0}[/tex]
Rate = [tex]\frac{350}{8}[/tex]
Rate = 43. 75 miles per hour
b. What is the average rate of change in distance between the 2nd and 4th hour
Rate = [tex]\frac{225 - 150}{4 - 2}[/tex]
Rate = [tex]\frac{75}{2}[/tex]
Rate = 37. 5 miles per hour
5th and 6th hour
Rate = [tex]\frac{300 - 300}{6 - 5}[/tex]
Rate = [tex]\frac{0}{1}[/tex]
Rate = 0
6th and 8th hour
Rate = [tex]\frac{350 - 300}{8 - 6}[/tex]
Rate = [tex]\frac{50}{2}[/tex]
Rate = 25 miles per hour
c. The average rate of change between the intervals are different because the distance either decreases with time.
Thus, the average rate of change in distance over the entire trip, the average rate of change in distance between the 2nd and 4th hour, the 5th and 6th hour, the 6th and 8th hour are 43. 75 miles per hour, 37. 5 miles per hour, zero and 25 miles per hour respectively.
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