A population of beetles are growing according to a linear growth model. The initial population(week 0) is Po 7, and the population after 8 weeks is P = 47.Find an explicit formula for the beetle population after n weeks.Pn=After how many weeks will the beetle population reach 97?weeks

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Answered: A population of beetles are growing…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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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.
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.
The graph in Figure 19 illustrates the decay of a radioactive substance over t days. Use the graph to estimate the average decay rate from t=5tot=15 .

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A population of beetles are growing according to a linear growth model. The initial population 7, and the population after 8 weeks is Ps (week 0) is Po = 47. Find an explicit formula for the beetle population after n weeks. Pn = After how many weeks will the beetle population reach 97? weeks -