Let N(t) represent the number of humans on Earth at year t. We shall assume that the population is continuously changing. Suppose the number of humans on Earth on the first day of the year 1960 (which we shall set as t = 0) was 3 billion. The growth rate of the population may be defined by 1 dN N dt Assuming a constant growth rate of 4% what population level in bil- lions does this model predict for the first day of the year 1995? Give your answer correct to 2 decimal places.

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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8 Let N(t) represent the number of humans on Earth at year t.
We shall assume that the population is continuously changing. Suppose the number of
humans on Earth on the first day of the year 1960 (which we shall set as t = 0) was 3
billion.
The growth rate of the population may be defined by
1 dN
N dt
Assuming a constant growth rate of 4% what population level in bil-
lions does this model predict for the first day of the year 1995?
Give your answer correct to 2 decimal places.
Transcribed Image Text:8 Let N(t) represent the number of humans on Earth at year t. We shall assume that the population is continuously changing. Suppose the number of humans on Earth on the first day of the year 1960 (which we shall set as t = 0) was 3 billion. The growth rate of the population may be defined by 1 dN N dt Assuming a constant growth rate of 4% what population level in bil- lions does this model predict for the first day of the year 1995? Give your answer correct to 2 decimal places.
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