The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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The population of ants in a colony grows at a rate proportional to the number of ants
P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are
present in the population. Determine the population of ants after 10 hours. You must begin your
solution process by writing and solving the differential equation. You may use the natural logarithm
table to the right. Use the approximate value of 3 for e (exponential function). Your work must support
your answer.
Z
1
2
3
4
5
сл
6
7
8
9
10
In z
0
0.7
1.1
1.4
1.6
1.8
1.9
2.1
2.2
2.3
Transcribed Image Text:The population of ants in a colony grows at a rate proportional to the number of ants P present at time t. The initial population of ants is 300. After 7 hours it is observed that 150 ants are present in the population. Determine the population of ants after 10 hours. You must begin your solution process by writing and solving the differential equation. You may use the natural logarithm table to the right. Use the approximate value of 3 for e (exponential function). Your work must support your answer. Z 1 2 3 4 5 сл 6 7 8 9 10 In z 0 0.7 1.1 1.4 1.6 1.8 1.9 2.1 2.2 2.3
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