A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave. The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest hundred) of the sample and the length of the sample in centimeters. Find a linear model that express length as a function of th

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave.

The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest hundred) of the sample and the length of the sample in centimeters. Find a linear model that express length as a function of the age.

Round your answers to 2 decimal places

Age (nearest hundred) Centimeters
1 85.96
2 171.96
3 257.94
6 516.13
13 1117.16
18 1549.55
19 1633.59

Length == x+x+ where x is the age in hundreds of years

 

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