This exercise uses the population growth model. Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially. nA 700- 600- 500- Frog population 400- 300- 200- 100 0 (2,225) 1 2 3 (a) What was the initial bullfrog population? bullfrogs 5 (b) Find a function that models the bullfrog population t years since the bullfrogs were put into the pond. (Round your r value to four decimal places.) n(t) = (c) What is the projected bullfrog population after 15 years? bullfrogs (d) Estimate how long it takes the population to reach 126,000. (Round your answer to the nearest whole number.) years after introduction
This exercise uses the population growth model. Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially. nA 700- 600- 500- Frog population 400- 300- 200- 100 0 (2,225) 1 2 3 (a) What was the initial bullfrog population? bullfrogs 5 (b) Find a function that models the bullfrog population t years since the bullfrogs were put into the pond. (Round your r value to four decimal places.) n(t) = (c) What is the projected bullfrog population after 15 years? bullfrogs (d) Estimate how long it takes the population to reach 126,000. (Round your answer to the nearest whole number.) years after introduction
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:This exercise uses the population growth model.
Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.
NA
700-
600-
500-
Frog
population 400-
300-
200-
100-
0
(2, 225)
+
1
+
2
+
3
(a) What was the initial bullfrog population?
bullfrogs
+
+
+
4 5 6
t
(b) Find a function that models the bullfrog population t years since the bullfrogs were put into the pond. (Round your r value to four decimal places.)
n(t) =
(c) What is the projected bullfrog population after 15 years?
bullfrogs
(d) Estimate how long it takes the population to reach 126,000. (Round your answer to the nearest whole number.)
years after introduction
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