A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch the graph of a function that models the situation for 30 days. b. State an equation that generates the graph you drew in part (a). c. Plot and label the vertical intercept on your graph in part (a) and write a sentence express what this point represents in the context of this story problem. d. Use your function to determine the number of bacteria on day 30. Plot and label t point on your graph. e. Algebraically determine the amount of time it takes for the population of microbe to double. Round your results to the nearest whole day and interpret with a complete sentence. Plot and label a pair of points on the graph that relates to you findings.
A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch the graph of a function that models the situation for 30 days. b. State an equation that generates the graph you drew in part (a). c. Plot and label the vertical intercept on your graph in part (a) and write a sentence express what this point represents in the context of this story problem. d. Use your function to determine the number of bacteria on day 30. Plot and label t point on your graph. e. Algebraically determine the amount of time it takes for the population of microbe to double. Round your results to the nearest whole day and interpret with a complete sentence. Plot and label a pair of points on the graph that relates to you findings.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:2. A population of 800,000 microbes increases at the continuous rate of 4% per day.
a. Carefully sketch the graph of a function that models the situation for 30 days.
b. State an equation that generates the graph you drew in part (a).
c.
Plot and label the vertical intercept on your graph in part (a) and write a sentence to
express what this point represents in the context of this story problem.
d. Use your function to determine the number of bacteria on day 30. Plot and label this
point on your graph.
e.
Algebraically determine the amount of time it takes for the population of microbes
to double. Round your results to the nearest whole day and interpret with a
complete sentence. Plot and label a pair of points on the graph that relates to your
findings.
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