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y = Tell whether the function represents exponential growth or exponential decay. Then graph the function. S14

y = Tell whether the function represents exponential growth or exponential decay. Then graph the function. S14

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Exponential Functions and Their Applications #### 1. Determining and Graphing Exponential Growth or Decay **Problem:** Tell whether the function \( y = \left(\frac{5}{4}\right)^x \) represents exponential growth or exponential decay. Then graph the function. --- #### 2. Car Value Depreciation Estimation **Problem:** The value of a car \( y \) (in thousands of dollars) can be approximated by the model \( y = 24(0.83)^t \), where \( t \) is the number of years since the car was new. Identify the annual percent increase or decrease in the car’s value. Estimate when the car’s value will be $6500. --- #### 3. Population Growth Estimation **Problem:** In 2000, the population of a city was about 1.6 million. During the next 15 years, the population increased by about 1.76% each year. Write an exponential growth model giving the population \( y \) (in millions) \( t \) years after 2000. Estimate the city’s population in 2009.
Transcribed Image Text:### Exponential Functions and Their Applications #### 1. Determining and Graphing Exponential Growth or Decay **Problem:** Tell whether the function \( y = \left(\frac{5}{4}\right)^x \) represents exponential growth or exponential decay. Then graph the function. --- #### 2. Car Value Depreciation Estimation **Problem:** The value of a car \( y \) (in thousands of dollars) can be approximated by the model \( y = 24(0.83)^t \), where \( t \) is the number of years since the car was new. Identify the annual percent increase or decrease in the car’s value. Estimate when the car’s value will be $6500. --- #### 3. Population Growth Estimation **Problem:** In 2000, the population of a city was about 1.6 million. During the next 15 years, the population increased by about 1.76% each year. Write an exponential growth model giving the population \( y \) (in millions) \( t \) years after 2000. Estimate the city’s population in 2009.
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