The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 75 minutes.

The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 75 minutes.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...

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Question

The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the count
grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 75 minutes.
When will the population reach 10000.
You may enter the exact value or round to 2 decimal places.

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