Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as part of his research toward his honors biology project. He monitored the population over a 50 day period, counting at regular intervals. Below is a table of some of the data he collected, indicating the number of flies on certain days. Day 3 Population of fruit flies 150 5 14 180 225 44 345 (a) Use the information in the table to determine the average rate of change on the intervals i. day 3 to day 5. ii. day 5 to day 14. iii. day 14 to day 44. Include units.
Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as part of his research toward his honors biology project. He monitored the population over a 50 day period, counting at regular intervals. Below is a table of some of the data he collected, indicating the number of flies on certain days. Day 3 Population of fruit flies 150 5 14 180 225 44 345 (a) Use the information in the table to determine the average rate of change on the intervals i. day 3 to day 5. ii. day 5 to day 14. iii. day 14 to day 44. Include units.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:Question 4 Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies
as part of his research toward his honors biology project. He monitored the population over a 50 day
period, counting at regular intervals. Below is a table of some of the data he collected, indicating the
number of flies on certain days.
Day
Population of fruit flies
3
150
5 14 44
180 225 345
(a) Use the information in the table to determine the average rate of change on the intervals
i. day 3 to day 5.
ii. day 5 to day 14.
iii. day 14 to day 44.
Include units.
(b) Does the data above support the sentence "As time passes, the population of fruit flies increases
faster and faster?" Explain.
(c) Estimate the instantaneous rate of change at t = 5. Give units.
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