The graph of a function that models exponential decay is shown, where x represents one-year time periods. Find the initial population and the one-year decay factor. initial population 300 one-year decay factor -200
The graph of a function that models exponential decay is shown, where x represents one-year time periods. Find the initial population and the one-year decay factor. initial population 300 one-year decay factor -200
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:The graph of a function that models exponential decay is shown, where \( x \) represents one-year time periods. Find the initial population and the one-year decay factor.
- **Initial population**: 300 ✓
- **One-year decay factor**: -200 ✗
### Graph Description
The graph appears to be a red curve representing exponential decay. The \( x \)-axis is labeled from 0 to 2, indicating time in one-year intervals. The \( y \)-axis ranges from 0 to 400, representing the population.
- The curve starts at a \( y \)-value of 300 when \( x = 0 \).
- A notable point on the curve is marked as (1, 100), indicating that after one year, the population is 100.
The curve slopes downward, demonstrating a decrease in population over time.
### Additional Features
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