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

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
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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
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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