6) In a town whose days after the disease has begun is given by the function population is 3500, a disease creates an epidemic. The number N of people infecte 3500 N(t) 1 + 18-e-0.8t Find the number infected after 16 days. A) 3498 B) 3503 C) 3502 D) 3500
6) In a town whose days after the disease has begun is given by the function population is 3500, a disease creates an epidemic. The number N of people infecte 3500 N(t) 1 + 18-e-0.8t Find the number infected after 16 days. A) 3498 B) 3503 C) 3502 D) 3500
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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![**Educational Website Transcription**
**Solve the following problems:**
**6)** In a town with a population of 3500, a disease creates an epidemic. The number \( N \) of people infected \( t \) days after the disease begins is given by the function:
\[
N(t) = \frac{3500}{1 + 18e^{-0.8t}}
\]
Find the number infected after 10 days.
- A) 3496
- B) 3505
- C) 3502
- D) 3500
**7)** In recent years, many states have passed laws against smoking in public buildings. The total number of states \( N \) that have passed a non-smoking in public buildings law \( t \) years after 1985 is given by the function:
\[
N(t) = \frac{50}{1 + 19e^{-0.4t}}
\]
How many states had passed the law in 1985?
- A) 1.25
- B) 0.25
- C) 2.5
- D) 0
**Solve the problem:**
**8)** Use a graphing calculator to predict what income the company should expect in its seventh year of operation.
\[
\begin{array}{|c|c|}
\hline
\text{Years of Operation} & \text{Annual Income} \\
\hline
0 & 0.65 \\
1 & 1.23 \\
2 & 1.95 \\
3 & 3.10 \\
\hline
\end{array}
\]
- A) \( y = 3.5x \)
- B) \( y = 0.65x \)
- C) \( y = 2.4x \)
- D) \( y = 0.32x \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5db57141-0c00-4479-b5a0-2d3a0d916b87%2F2e7c7198-00c8-42f8-a8d4-9cdf5f864d9b%2F50wdxbw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription**
**Solve the following problems:**
**6)** In a town with a population of 3500, a disease creates an epidemic. The number \( N \) of people infected \( t \) days after the disease begins is given by the function:
\[
N(t) = \frac{3500}{1 + 18e^{-0.8t}}
\]
Find the number infected after 10 days.
- A) 3496
- B) 3505
- C) 3502
- D) 3500
**7)** In recent years, many states have passed laws against smoking in public buildings. The total number of states \( N \) that have passed a non-smoking in public buildings law \( t \) years after 1985 is given by the function:
\[
N(t) = \frac{50}{1 + 19e^{-0.4t}}
\]
How many states had passed the law in 1985?
- A) 1.25
- B) 0.25
- C) 2.5
- D) 0
**Solve the problem:**
**8)** Use a graphing calculator to predict what income the company should expect in its seventh year of operation.
\[
\begin{array}{|c|c|}
\hline
\text{Years of Operation} & \text{Annual Income} \\
\hline
0 & 0.65 \\
1 & 1.23 \\
2 & 1.95 \\
3 & 3.10 \\
\hline
\end{array}
\]
- A) \( y = 3.5x \)
- B) \( y = 0.65x \)
- C) \( y = 2.4x \)
- D) \( y = 0.32x \)
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