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CalculusQ&A LibraryThe data in the table gives the percentage of MySpace users who are a certain ageUse the data for females.MySpace Users of a Certain Age and Genderas a Percentage of all MySpace UsersFemale, f(percent)MaleAge(years)(percent)179.68.8197.87.6216.16.0235.14.6254.34.0273.84.4292.42.7312.11.9331.21.5351.11.3(a) Align the input data to the number of years x after 17. Find an exponential function that models the MySpace female user data. (Round all numerical values to three decimal places.)f(x)=(b) According to the model in part (a), what is the percentage change in the percentage in your model?%(c) What percentage of female MySpace users are 20 years old? (Round your answer to one decimal place.)%What percentage of female MySpace users are 30 years old? (Round your answer to one decimal place.)%Are these answers found using extrapolation or interpolation?extrapolationinterpolationQuestion

Asked Aug 28, 2019

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Step 1

As a first step we need to set the input data to the number of years x after 17. Please see the table on the white board.

Step 2

W enow need to plot the given data and find the corresponding exponential function, fitting the data well. We will achieve this step by adding a trendline and selecting the exponential functon. Please see the white board.

Step 3

Part (a)

We will get the trendline as shown on the white board.

Recall the formula: exln(a) = ax

In our case, ln(a) = -0.244

Hence, a ...

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