The initial population of pika in a region is 144 pikas. The pika population is decreasing by 8% each year. How does the decrease in the pika population for years 1-5 compare to the population for years 6-10? 1. Write an exponential decay function to model the situation. What is the initial value? What is the decay rate? What is the exponential function?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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The initial population of pika in a region is 144 pikas. The pika population is decreasing by 8%
each year. How does the decrease in the pika population for years 1-5 compare to the
population for years 6-10?
1. Write an exponential decay function to model the situation.
What is the initial value?
What is the decay rate?
What is the exponential function?
2. Find the average rate of change for each interval.
y 2¬Y 1
X2-X 1
b. The y-values are the output, f(x), after you calculate.
c. The x-values are the input, the time (usually years) you plug in for x.
a. Rate of change is slope.
What is the pika population after 1 year (substitute 1 in for x)?
What is the pika population after 5 years (substitute 5 in for x)?
What is the average rate of change (slope)?
What is the pika population after 6 years (substitute 6 in for x)?
What is the pika population after 10 years (substitute 10 in for x)?
What is the average rate of change (slope)?
As x increases, the rate of change
Transcribed Image Text:The initial population of pika in a region is 144 pikas. The pika population is decreasing by 8% each year. How does the decrease in the pika population for years 1-5 compare to the population for years 6-10? 1. Write an exponential decay function to model the situation. What is the initial value? What is the decay rate? What is the exponential function? 2. Find the average rate of change for each interval. y 2¬Y 1 X2-X 1 b. The y-values are the output, f(x), after you calculate. c. The x-values are the input, the time (usually years) you plug in for x. a. Rate of change is slope. What is the pika population after 1 year (substitute 1 in for x)? What is the pika population after 5 years (substitute 5 in for x)? What is the average rate of change (slope)? What is the pika population after 6 years (substitute 6 in for x)? What is the pika population after 10 years (substitute 10 in for x)? What is the average rate of change (slope)? As x increases, the rate of change
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