1. Exponential growth and decay can be expressed asA(t) = Agekt,where A(t) = the amount at time tAo = A(0), the initial amount (the amount at t = 0)k= relative rate of growth or decayt = timeThe model describes exponential growth if k isThe model describes exponential decay if k is

if k>0 , Exponential growth k,0 , Exponential decay

Answered: 1. Exponential growth and decay can be…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...

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Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvest
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.
Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?

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1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t A(0), the initial amount (the amount at t = 0) relative rate of growth or decay Ao k t = time The model describes exponential growth if k is The model describes exponential decay if k is