The fox population in a certain region has an annual growth rate of 8% per year. In the year 2012, there were 23,500 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.) X foxes Note that the population grows at a constant percentage rate. Determine the exponential growth model, f(x) How is the growth factor b determined from the constant percentage rate? What year corresponds to x = 0? abx, where a is the initial value and b is the growth factor. Additional Materials

The fox population in a certain region has an annual growth rate of 8% per year. In the year 2012, there were 23,500 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.) X foxes Note that the population grows at a constant percentage rate. Determine the exponential growth model, f(x) How is the growth factor b determined from the constant percentage rate? What year corresponds to x = 0? abx, where a is the initial value and b is the growth factor. Additional Materials

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 41E

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The fox population in a certain region has an annual growth rate of 8% per year. In the year 2012, there were 23,500 foxes counted in the area. What is the fox population
predicted to be in the year 2020? (Round your answer to the nearest whole number.)
X foxes
Note that the population grows at a constant percentage rate. Determine the exponential growth model, f(x) = ab*, where a is the initial value and b is the growth factor.
How is the growth factor b determined from the constant percentage rate? What year corresponds to x = 0?
Additional Materials
M eBook
H Exponential Growth Function

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