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The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write the exponential function that fits the data for the population of bacteria, P(t) t minutes after 1 PM? b. How many minutes after 1 PM will the population reach 11,000? c. What was the population of bacteria at 2 PM? d. What is the rate of change of bacteria at 2 PM? e. When will the amount of bacteria be growing at a rate of 300 bacteria per minute? We are using "Exponential and Logarithmic Functions"

The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write the exponential function that fits the data for the population of bacteria, P(t) t minutes after 1 PM? b. How many minutes after 1 PM will the population reach 11,000? c. What was the population of bacteria at 2 PM? d. What is the rate of change of bacteria at 2 PM? e. When will the amount of bacteria be growing at a rate of 300 bacteria per minute? We are using "Exponential and Logarithmic Functions"

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 33PT: Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine...
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The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write the exponential function that fits the data for the population of bacteria, P(t) t minutes after 1 PM? b. How many minutes after 1 PM will the population reach 11,000? c. What was the population of bacteria at 2 PM? d. What is the rate of change of bacteria at 2 PM? e. When will the amount of bacteria be growing at a rate of 300 bacteria per minute? We are using "Exponential and Logarithmic Functions"
Transcribed Image Text:The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write the exponential function that fits the data for the population of bacteria, P(t) t minutes after 1 PM? b. How many minutes after 1 PM will the population reach 11,000? c. What was the population of bacteria at 2 PM? d. What is the rate of change of bacteria at 2 PM? e. When will the amount of bacteria be growing at a rate of 300 bacteria per minute? We are using "Exponential and Logarithmic Functions"
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