(5.) As mobile phones continue to proliferate, more and more people will watch video content on their phones. In a study released in 2013, the number of mobile phone video viewers in the UK in year t from 2011 through 2017 (so t = 0 to t = 6) will be P(t) = 13.86t0.535

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### Growth of Mobile Phone Video Viewership in the UK

As mobile phones continue to proliferate, more and more people will watch video content on their phones. In a study released in 2013, the number of mobile phone video viewers in the UK from 2011 through 2017 (so \( t = 0 \) to \( t = 6 \)) will be

\[ P(t) = 13.86t^{0.535} \]

percent of the population.

#### 5.
a. **What percentage of the UK population is expected to watch video content on mobile phones in 2013?**  
   *The answer is 20.1%.*

b. **How fast is the percentage of mobile phone video viewers in the UK in 2013 expected to change?**  
   *The answer is 5.37 (I want you to provide the label for this one!)*

#### Questions

**9.** Which function do you need for part (a), \( P(t) \) or \( P'(t) \)? Write the answer for part (a) in a complete sentence, including labels.

**10.** Which function do you need for part (b), \( P(t) \) or \( P'(t) \)? Write the answer for part (b) in a complete sentence, including labels.
Transcribed Image Text:### Growth of Mobile Phone Video Viewership in the UK As mobile phones continue to proliferate, more and more people will watch video content on their phones. In a study released in 2013, the number of mobile phone video viewers in the UK from 2011 through 2017 (so \( t = 0 \) to \( t = 6 \)) will be \[ P(t) = 13.86t^{0.535} \] percent of the population. #### 5. a. **What percentage of the UK population is expected to watch video content on mobile phones in 2013?** *The answer is 20.1%.* b. **How fast is the percentage of mobile phone video viewers in the UK in 2013 expected to change?** *The answer is 5.37 (I want you to provide the label for this one!)* #### Questions **9.** Which function do you need for part (a), \( P(t) \) or \( P'(t) \)? Write the answer for part (a) in a complete sentence, including labels. **10.** Which function do you need for part (b), \( P(t) \) or \( P'(t) \)? Write the answer for part (b) in a complete sentence, including labels.
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