The world population at the beginning of 1990 was 5.3 billion. Assume that the p

Question

The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function of time t (in years), with t = 0 corresponding to the beginning of 1990. (Round your answers to two decimal places.) (a) If the world population continues to grow at approximately 2%/year, find the length of time t0 required for the population to quadruple in size. t0 = yr (b) Using the time t0 found in part (a), what would be the world population if the growth rate were reduced to 1.1%/yr?

Explanation / Answer

3. Q = 300 e^(kt) 150 = 300 e^(k • 14.2) 1/2 = e^(14.2t) -0.693... = 14.2t -0.0488.. = t Q = 300 e^(-0.0488... • 15.5) = 140.777...

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