consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the percentage of voter-eligible latinos who are registered to vote at t years since 1980. predict when 59.2% of voter-eligible latinos will be registerd to vote.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the percentage of voter-eligible latinos who are registered to vote at t years since 1980. predict when 59.2% of voter-eligible latinos will be registerd to vote.

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Step 1

 

The given function is p(t)=0.86t2+3.5t+3650.014t2+0.092t+5.77.

It is given that, p(t)=59.2%.

Obtain the value of t as follows:

59.2=0.86t2+3.5t+3650.014t2+0.092t+5.7759.20.014t2+0.092t+5.77=0.86t2+3.5t+3650.8288t2+5.4464t+341.584=0.86t2+3.5t+3650.0312t2-1.9464t+23.416=0

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