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"

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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