Serena is hitting golf balls at the driving range. When she hit a ball with her 9-iron, it stopped x yards in front of the 100-y
2 answers:
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Answer:
The average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ] are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.
Step-by-step explanation:
The given function is
where, P(t) is population after t years.
At t=5,
At t=6,
At t=7,
At t=8,
At t=9,
At t=10,
The rate of change of P(t) on the interval is
Using the above formula, the average rate of change of the population on the intervals [ 5 , 10 ] is
The average rate of change of the population on the intervals [ 5 , 9 ] is
The average rate of change of the population on the intervals [ 5 , 8 ] is
The average rate of change of the population on the intervals [ 5 , 7 ] is
The average rate of change of the population on the intervals [ 5 , 6 ] is
Therefore the average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ] are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.