Fox population) The fox population in a certain region has a relative growth rate of 8% by year. The population in 2005 is estimated to be 18,000. (a) Find a function n\left(t\right)=n_0e^{rt} that models the population in t years after 2005. (b) Use the function from part (a) to estimate the fox population in 2013. (c) Sketch a graph of the fox population function for the years 2005 - 2013.

Fox population) The fox population in a certain region has a relative growth rate of 8% by year. The population in 2005 is estimated to be 18,000. (a) Find a function n\left(t\right)=n_0e^{rt} that models the population in t years after 2005. (b) Use the function from part (a) to estimate the fox population in 2013. (c) Sketch a graph of the fox population function for the years 2005 - 2013.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 29E: Changing Water Levels The graph shows the depth of water W in a reservoir over a one-year period as...

See similar textbooks

Similar questions

A person invested $530 in an account growing at a rate allowing the money to double every 8 years. Write a function showing the amount of money in the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent
Element X is a radioactive isotope such that its mass decreases by 82% every year. If an experiment starts out with 410 grams of Element X, write a function to represent the mass of the sample after tt years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent. Include the function and the rate of decay/growth
Changing Water Levels The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between x=100 and x=200?
The altitude (i.e., height) of a triangle is increasing at a rate of 2.5 cm/minute while the area of the triangle is increasing at a rate of 4 square cm/minute. At what rate is the base of the triangle changing when the altitude is 11 centimeters and the area is 97 square centimeters? The base is changing at ___________________ cm/min.
Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results y = 2x − ln 2x
finding the local mins and maximums and the intervals of increase and decrease and making a sign diagram for the first derivative.
A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 bacteria are observed in the culture; and after four hours, the population increased by 150%. Find an expression for the number of bacteria present in the culture at any time t.