The logistic model P(t)= S Interpret P(0) Select the correct choice below and fill in the answer box to complete your choice AA. In 2011, about % of households owned a tablet computer/ B. In 2011, about % of households did not own a tablet computer O.A. Pi (b) Use a graphing utility to graph P=P(t). The graphs are shown in the viewing window Xmin 0, Xmax 10 Xsol = 1, Ymin=0, Ymax 100, Y scl = 10. Choose the correct graph below. = Q 54.8806 14.9658-1/4151 30 represents the percentage of households that own a tablet computer t years since 2011. Complete parts (a) through (d), Q 2 GES BJ (C) What percentage of households owned a tablet computer in 2019? C In 2019, % of households owned a tablet computer (Round to one decimal place as needed. (d) In what year did the percentage of households that owned a tablet computer reach 41%? During the year, the percentage of households that owned a tablet computer reached 41% D. Q Q

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Educational Content on Logistic Model and Tablet Ownership**

**The Logistic Model P(t):**
The logistic model \( P(t) = \frac{54.8806}{1 + 14.9583e^{-1.451t}} \) represents the percentage of households that own a tablet computer \( t \) years since 2011. Complete parts (a) through (d) using this model.

**(a) Interpretation of P(t):**
Select the correct choice below and fill in the answer box to complete your choice.

- **A.** In 2011, about ___ % of households owned a tablet computer.
- **B.** In 2011, about ___ % of households did not own a tablet computer.

**(b) Graphical Representation of P = P(t):**
Use a graphing utility to graph \( P = P(t) \). The graphs are shown with the viewing window \( x_{min} = 0 \), \( x_{max} = 10 \), \( x_{scl} = 1 \), \( y_{min} = 0 \), \( y_{max} = 100 \), \( y_{scl} = 10 \).

Choose the correct graph below:

- **A.**

  ![Graph A](#) <- Place Image A Here (Simplified graph)
  
- **B.**

  ![Graph B](#) <- Place Image B Here (Slightly rising graph)
  
- **C.**

  ![Graph C](#) <- Place Image C Here (Gradually leveling off graph)

- **D.**

  ![Graph D](#) <- Place Image D Here (Steady rising graph)

**(c) Percentage Ownership in 2019:**
What percentage of households owned a tablet computer in 2019?

- In 2019, ___ % of households owned a tablet computer.
  (Round to one decimal place as needed.)

**(d) Year when Ownership Reached 41%:**
In what year did the percentage of households that owned a tablet computer reach 41%?

- During the year \( \_\_\_ \), the percentage of households that owned a tablet computer reached 41%.

**Graph Descriptions:**
- **Graph A:** The line is flat with no noticeable increase, indicating no growth in tablet ownership.
- **Graph B:** The line shows a small increase,
Transcribed Image Text:**Educational Content on Logistic Model and Tablet Ownership** **The Logistic Model P(t):** The logistic model \( P(t) = \frac{54.8806}{1 + 14.9583e^{-1.451t}} \) represents the percentage of households that own a tablet computer \( t \) years since 2011. Complete parts (a) through (d) using this model. **(a) Interpretation of P(t):** Select the correct choice below and fill in the answer box to complete your choice. - **A.** In 2011, about ___ % of households owned a tablet computer. - **B.** In 2011, about ___ % of households did not own a tablet computer. **(b) Graphical Representation of P = P(t):** Use a graphing utility to graph \( P = P(t) \). The graphs are shown with the viewing window \( x_{min} = 0 \), \( x_{max} = 10 \), \( x_{scl} = 1 \), \( y_{min} = 0 \), \( y_{max} = 100 \), \( y_{scl} = 10 \). Choose the correct graph below: - **A.** ![Graph A](#) <- Place Image A Here (Simplified graph) - **B.** ![Graph B](#) <- Place Image B Here (Slightly rising graph) - **C.** ![Graph C](#) <- Place Image C Here (Gradually leveling off graph) - **D.** ![Graph D](#) <- Place Image D Here (Steady rising graph) **(c) Percentage Ownership in 2019:** What percentage of households owned a tablet computer in 2019? - In 2019, ___ % of households owned a tablet computer. (Round to one decimal place as needed.) **(d) Year when Ownership Reached 41%:** In what year did the percentage of households that owned a tablet computer reach 41%? - During the year \( \_\_\_ \), the percentage of households that owned a tablet computer reached 41%. **Graph Descriptions:** - **Graph A:** The line is flat with no noticeable increase, indicating no growth in tablet ownership. - **Graph B:** The line shows a small increase,
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