# Word problemIn 1990 the populations of a country was estimated at 4 million. For any year the population is modeled by this logistic equations: p(t)= (240) ÷ (5+54.99e-.0208t) , where is the number of years since 1990. Estimate the year that the population will be 21 million.

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Word problem

In 1990 the populations of a country was estimated at 4 million. For any year the population is modeled by this logistic equations: p(t)= (240) ÷ (5+54.99e-.0208t) , where is the number of years since 1990. Estimate the year that the population will be 21 million.

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Step 1

To estimate the year when the population will be 21 million.

Step 2

Given:

Step 3

Substitute 21 for... help_outlineImage Transcriptionclose240 p (t)= 5 54.99e.020S 240 21= 5 54.99e-0.020 8r 0.020 8 21x (5+54.99e = 240 1154.79e.020= 240-105 135 e-0.0208 1154.79 Take log on both the sides 135 -0.0208t In 1154.79 1 In -0.0208 1154.79 135 t =- t =103.19 years fullscreen

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