A population, P(t) (in millions) in year t, increases exponentially. Suppose P(8) = 22 and P(15) = 30. a) Find a formula for the population in the form P(t) = abt. Enter the values you found for a and b in your formula in the blanks belov Round your values to 4 decimal places. b= a= b) If P(t): k= aekt, what is the value of k in your formula. (round to 4 decimal places) tial grodit this problem

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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A population, P(t) (in millions) in year t, increases exponentially. Suppose P(8) = 22 and P(15) = 30.
a) Find a formula for the population in the form P(t)
Round your values to 4 decimal places.
b=
a=
=
b) If P(t)= aet, what is the value of k in your formula.
k=
(round to 4 decimal places)
artial .credit on this problem
abt. Enter the values you found for a and b in your formula in the blanks below
Transcribed Image Text:A population, P(t) (in millions) in year t, increases exponentially. Suppose P(8) = 22 and P(15) = 30. a) Find a formula for the population in the form P(t) Round your values to 4 decimal places. b= a= = b) If P(t)= aet, what is the value of k in your formula. k= (round to 4 decimal places) artial .credit on this problem abt. Enter the values you found for a and b in your formula in the blanks below
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