The following table shows the number of internet hosts in millions for years since 1995.          Year              Internet hosts            2                       21.819            5                       72.398            8                       171.638           11                      433.199           14                      732.74 Let H(t) be the number of internet hosts in millions for t years since 1995. An exponential model for the data is H(t) =.

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Chapter1: Functions And Models
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The following table shows the number of internet hosts in millions for years since 1995.

         Year              Internet hosts

           2                       21.819

           5                       72.398

           8                       171.638

          11                      433.199

          14                      732.74

Let H(t) be the number of internet hosts in millions for t years since 1995.
An exponential model for the data is H(t) =.

 

Estimate the number of hosts in 2014?         millions

 

Use the model to predict the year in which the number of hosts will be 977 million. 

The following table shows the number of internet hosts in millions for years since 1995.
Year
Internet hosts
21.819
72.398
8.
171.638
11
433.199
14
732.74
A scatter plot for the data with an exponential model follows.
900-
800-
700
600
500
400
300
200
100
3.
9.
12
15
Use the above scatter plot to decide whether the exponential model fits the data well.
O The function is not a good model for the data
O The function is a good model for the data.
Let H(t) be the number of internet hosts in millions for t years since 1995.
An exponential model for the data is H(t) =
Use three decimals in
your answer.
Estimate the number of hosts in 2014.
millions
Use the model to predict the year in which the number of hosts will be 977 million.
Transcribed Image Text:The following table shows the number of internet hosts in millions for years since 1995. Year Internet hosts 21.819 72.398 8. 171.638 11 433.199 14 732.74 A scatter plot for the data with an exponential model follows. 900- 800- 700 600 500 400 300 200 100 3. 9. 12 15 Use the above scatter plot to decide whether the exponential model fits the data well. O The function is not a good model for the data O The function is a good model for the data. Let H(t) be the number of internet hosts in millions for t years since 1995. An exponential model for the data is H(t) = Use three decimals in your answer. Estimate the number of hosts in 2014. millions Use the model to predict the year in which the number of hosts will be 977 million.
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