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The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t 20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. С. Calculate the time it will take for the number of fish to decrease to 45.

The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t 20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. С. Calculate the time it will take for the number of fish to decrease to 45.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. C. Calculate the time it will take for the number of fish to decrease to 45.
Transcribed Image Text:The number of fish, N, in a pond is decreasing according to the model 3. N(t) = ab-t + 40, t20 where a and b are positive constants, and t is the time in months since the number of fish in the pond was first counted. At the beginning 840 fish were counted. a. Find the value of a. b. After 4 months 90 fish were counted. Find the value of b. C. Calculate the time it will take for the number of fish to decrease to 45.
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