A population numbers 15,000 organisms initially and grows by 18.7% each year.Suppose PP represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=a⋅btP=a⋅bt where A population numbers 15,000 organisms initially and grows by 18.7% each year.Suppose P represents population, and t the number of years of growth. An exponential model for thepopulation can be written in the form P = a- bé whereP =Question Help: D Video 1 D Video 2

Answered: A population numbers 15,000 organisms…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 12PFA

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Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
Find an exponential equation that passes throughthe points (0,4) and (2,9).
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.

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A population numbers 15,000 organisms initially and grows by 18.7% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P= a · b° where P =