Use the given information to find a formula for the exponential function N = N(t). (Round your regression parameters to three decimal places.) The initial value of N is 3. If t is increased by 1, N is divided by 11.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
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Use the given information to find a formula for the exponential function N = N(t). (Round your regression parameters to three decimal places.)

The initial value of N is 3. If t is increased by 1, N is divided by 11.
Expert Solution
Step 1

An exponential function, N(t) can be written as: N(t) = a*(b)t

Here, N(0) = 3 and N(1) = N(0)/11

∴ N(0) = a*(b)0= 3

=> a = 3

 

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