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 !! your answer. Estimate the number of hosts in 2016. millions Use the model to predict the year in which the number of hosts will be 984 million.

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The following table shows the number of internet hosts in millions for years since 1995.

      Year             Internet hosts

        0                    5.846

        3                    29.67

        6                  109.574

        9                  317.646

       12                 541.677

       15                 818.374

 

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

 

Estimate the number of hosts in 2016?   ________  millions

 

Use the model to predict the year in which the number of hosts will be 984 million? ___________

The following table shows the number of internet hosts in millions for years since 1995.
Year
Internet hosts
5.846
3
29.67
6
109.574
9.
317.646
12
541.677
15
818.374
A scatter plot for the data with an exponential model follows.
900+
800
700
600
500-
400-
300-
200
100-
15 Q
Use the above scatter plot to decide whether the exponential model fits the data well.
3
6
12
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.
Use three decimals in
An exponential model for the data is H(t) =
your answer.
millions
Estimate the number of hosts in 2016.
Use the model to predict the year in which the number of hosts will be 984 million.
Transcribed Image Text:The following table shows the number of internet hosts in millions for years since 1995. Year Internet hosts 5.846 3 29.67 6 109.574 9. 317.646 12 541.677 15 818.374 A scatter plot for the data with an exponential model follows. 900+ 800 700 600 500- 400- 300- 200 100- 15 Q Use the above scatter plot to decide whether the exponential model fits the data well. 3 6 12 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. Use three decimals in An exponential model for the data is H(t) = your answer. millions Estimate the number of hosts in 2016. Use the model to predict the year in which the number of hosts will be 984 million.
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