b c and d! F. E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by the following function.G =0.44N(228 - N)228 + 3,46N(a) Draw a graph of G versus N. Include values ofN up to 350.GG15151010250 300 350N100 150 200 50 300 35050 100 150 20050-5-5-10-10o-15-15GG1515101050 196150 200 250300 35050 10050 200 250 300 360-5-5--10- 10o-15fp-15(b) At what population size does the greatest rate of growth occur? (Round your answer to the nearest whole number.)fleas(c) There are two values of N where G is zero. Find these values of N.| fleas (smaller value)fleas (larger value)Explain what is occurring at the smaller population level.• The size of the population is not changing.O The size of the population is growing.O The size of the population is shrinking.Explain what is occurring at the larger population level.The size of the population is not changing.O The size of the population is growing.O The size of the population is shrinking.(d) What is the rate of population growth if the population size is 260? (Round your answer to two decimal places.)fleas per day

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Description: b c and d! F. E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by the following function.G =0.44N(228 - N)

the given growth function isG=0.44N(228-N)228+3.46NN→Population size

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E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by the following function. G.0.44N(228 - N) 228 + 3.46N (a) Draw a graph of G versus N. Include values of N up to 350. G 15 15 10 10 50 100 150 200 250 300 350 50 100 150 200 0 300 350 -5 -5- -10 -10 o-15 -15 G. G 15 3 15 10 10 50 190 150 200 250 300 350 50 50 200 250 300 360 0 -5 -5- -10 -10 o-15 o-15 (b) At what population size does the greatest rate of growth occur? (Round your answer to the nearest whole number.) fleas (c) There are twio values of N wihere Gis zero. Find these values of N. |fleas (smaller value) |fleas (larger value) Explain what is occurring at the smaller population level. The size of the population is not changing. O The size of the population is grovwing. O The size of the population is shrinking. Explain what is occurring at the larger population level. The size of the population is not changing. O The size of the population is growing. O The size of the population is shrinking. (d) What is the rate of population growth if the population size is 260? (Round your answer to two decimal places.) fleas per day

E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by the following function. G.0.44N(228 - N) 228 + 3.46N (a) Draw a graph of G versus N. Include values of N up to 350. G 15 15 10 10 50 100 150 200 250 300 350 50 100 150 200 0 300 350 -5 -5- -10 -10 o-15 -15 G. G 15 3 15 10 10 50 190 150 200 250 300 350 50 50 200 250 300 360 0 -5 -5- -10 -10 o-15 o-15 (b) At what population size does the greatest rate of growth occur? (Round your answer to the nearest whole number.) fleas (c) There are twio values of N wihere Gis zero. Find these values of N. |fleas (smaller value) |fleas (larger value) Explain what is occurring at the smaller population level. The size of the population is not changing. O The size of the population is grovwing. O The size of the population is shrinking. Explain what is occurring at the larger population level. The size of the population is not changing. O The size of the population is growing. O The size of the population is shrinking. (d) What is the rate of population growth if the population size is 260? (Round your answer to two decimal places.) fleas per day

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 43E

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b c and d!

F. E. Smith has studied population growth for the water flea. Let N denote the population size. In one experiment, Smith found that G, the rate of growth per day in the population, can be modeled by the following function.
G =
0.44N(228 - N)
228 + 3,46N
(a) Draw a graph of G versus N. Include values ofN up to 350.
G
G
15
15
10
10
250 300 350
N
100 150 200 50 300 350
50 100 150 200
50
-5
-5
-10
-10
o-15
-15
G
G
15
15
10
10
50 196
150 200 250
300 350
50 100
50 200 250 300 360
-5
-5-
-10
- 10
o-15f
p-15
(b) At what population size does the greatest rate of growth occur? (Round your answer to the nearest whole number.)
fleas
(c) There are two values of N where G is zero. Find these values of N.
| fleas (smaller value)
fleas (larger value)
Explain what is occurring at the smaller population level.
• The size of the population is not changing.
O The size of the population is growing.
O The size of the population is shrinking.
Explain what is occurring at the larger population level.
The size of the population is not changing.
O The size of the population is growing.
O The size of the population is shrinking.
(d) What is the rate of population growth if the population size is 260? (Round your answer to two decimal places.)
fleas per day

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