Give EXACT answers and APPROXIMATE answers using your calculator. 11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t) = 1000e03972t ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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11. A culture contains 1000 bacteria initially. Then after 2 hours, the bacteria count is 8000.

a. Find the rate at which the bacteria is changing, showing all your thinking.

 

Does it correspond to the equation modeling this situation A(t)= 1000e to the power of 1.03972?

b. Find the number of bacteria after 5 hours.

c. After how many hours will the culture contain 15,000 bacteria?

Give EXACT answers and APPROXIMATE answers using your calculator.
11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000.
a. Find the rate at which the bacteria is changing, showing all your thinking.
Does it correspond to the equation modeling this situation A(t)= 1000e.03972r ?
b. Find the number of bacteria after 5 hours.
c. After how many hours will the culture contain 15,000 bacteria?
Transcribed Image Text:Give EXACT answers and APPROXIMATE answers using your calculator. 11. A culture contains 1000 bacteria initially. Then after 2 hours the bacteria count is 8000. a. Find the rate at which the bacteria is changing, showing all your thinking. Does it correspond to the equation modeling this situation A(t)= 1000e.03972r ? b. Find the number of bacteria after 5 hours. c. After how many hours will the culture contain 15,000 bacteria?
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