The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this question, time is measured in hours and the number of bacteria, y, is measured in millions. The number of bacteria at time t = 0 is 15 million.   Enter a formula for the number of bacteria at time t y =    What is the value of the growth constant? Growth constant : ___ per hour.   How long does it take for the number of bacteria to double? (Enter your answer correct to two decimal places.) Doubling time : ___ hours.   How many million bacteria will be present after 5 hours have passed? (Enter your answer correct to one decimal place.) Number present after 5 hours :  million.

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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The number of bacteria in a flask grows according to the differential equation

dy/dt=0.09y

In this question, time is measured in hours and the number of bacteria, y, is measured in millions.

The number of bacteria at time t = 0 is 15 million.

 

  1. Enter a formula for the number of bacteria at time t

    y = 

     

  2. What is the value of the growth constant?

    Growth constant : ___ per hour.

     

  3. How long does it take for the number of bacteria to double?

    (Enter your answer correct to two decimal places.)

    Doubling time : ___ hours.

     

  4. How many million bacteria will be present after 5 hours have passed?

    (Enter your answer correct to one decimal place.)

    Number present after 5 hours :  million.

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