The formula for an exponential function N ( t ) with base a and initial value P is: N ( t )=Pat The following data illustrates exponential decay, where 0 < a < 1. Find the value of a. t N ( t ) 0 600 1 150 2 37.5 3 9.375 4 2.34375 a) 14 b) 1256 c) 18 d) 15 e) 4

The formula for an exponential function N ( t ) with base a and initial value P is: N ( t )=Pat The following data illustrates exponential decay, where 0 < a < 1. Find the value of a. t N ( t ) 0 600 1 150 2 37.5 3 9.375 4 2.34375 a) 14 b) 1256 c) 18 d) 15 e) 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 35E

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Question

The formula for an exponential function N ( t ) with base a and initial value P is: N ( t )=Pa^t

The following data illustrates exponential decay, where 0 < a < 1. Find the value of a.

t	N ( t )
0	600
1	150
2	37.5
3	9.375
4	2.34375

a) 14

b) 1256

c) 18

d) 15

e) 4

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