The below table will show Q, the quantity of carbon-14 (in micrograms, μg) in a 200 μg sample remains after t thousand years: t thousand years Q (μg) 0 200 5 195 10 150 15 30 (a) Explain how you know that the data is not created from a linear function. Explain precisely (and provide numerical evidence) by referring to the way the amount of carbon-14 is decreasing according to the data. (b) Explain how you know that your data is not exponential. Explain precisely (and provide numerical evidence) by referring to the way the amount of carbon-14 is decreasing according to the data.

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 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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The below table will show Q, the quantity of carbon-14 (in micrograms, μg) in a 200 μg sample remains after t thousand years:

t thousand years Q (μg)
0 200
5 195
10 150
15 30

(a) Explain how you know that the data is not created from a linear function. Explain precisely (and provide numerical evidence) by referring to the way the amount of carbon-14 is decreasing according to the data.


(b) Explain how you know that your data is not exponential. Explain precisely (and provide numerical evidence) by referring to the way the amount of carbon-14 is decreasing according to the data.

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