The data below is hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017.(linear model) h, hours since midnight 6 9 12 24 36 44 W, wind speed in MPH 140 140 80 48 30 20 Hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017: (Exponential Model) h, hours since midnight 6 9 12 24 36 44 W, wind speed in MPH 140 140 80 48 30 20 A.) According to your linear model for Hurricane Irma's wind speeds, what will be the wind speed 20 hours after midnight on September 10th? B.) According to your exponential model for Hurricane Irma's wind speeds, what will the wind speed be 20 hours after midnight on September 10th? C.) Look at the two models and how well the curves fit the data on your chart; also look at your predictions for the wind speeds after 20 hours.  Which model seems more appropriate and why? (Fill in the banks) The_______model seems more appropriate. My prediction for the wind speed at hour 20 using the ______model is much closer to the actual hour 20 wind speed. The_____model is a closer fit for most of the data points than the_______model. The______model will_______over time just like______does in the real world after a_______, while the_______model will continue to_________, ___________and eventually become____________which is impossible in the real world. D.) Assuming the exponential trend for wind speed continues, use your model to predict how many hours after midnight September 10th, 2017 the wind speeds for Hurricane Irma should have reached 25 mph. Round your answer to two decimal places.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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The data below is hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017.(linear model)

h, hours since midnight 6 9 12 24 36 44
W, wind speed in MPH 140 140 80 48 30 20

Hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017: (Exponential Model)

h, hours since midnight 6 9 12 24 36 44
W, wind speed in MPH 140 140 80 48 30 20

A.) According to your linear model for Hurricane Irma's wind speeds, what will be the wind speed 20 hours after midnight on September 10th?

B.) According to your exponential model for Hurricane Irma's wind speeds, what will the wind speed be 20 hours after midnight on September 10th?

C.) Look at the two models and how well the curves fit the data on your chart; also look at your predictions for the wind speeds after 20 hours.  Which model seems more appropriate and why? (Fill in the banks)

The_______model seems more appropriate.

My prediction for the wind speed at hour 20 using the ______model is much closer to the actual hour 20 wind speed. The_____model is a closer fit for most of the data points than the_______model.

The______model will_______over time just like______does in the real world after a_______, while the_______model will continue to_________, ___________and eventually become____________which is impossible in the real world.

D.) Assuming the exponential trend for wind speed continues, use your model to predict how many hours after midnight September 10th, 2017 the wind speeds for Hurricane Irma should have reached 25 mph. Round your answer to two decimal places.

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