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The following exponential functions represent population

Chapter 5, Problem 5.1.1

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QUESTION:

The following exponential functions represent population growth. Identify the initial population and the growth factor. a. d. b. e. c. f. 4 3 (x) 5 4 ? 105(2.5)x y 5 (6 ? 108) ? 5x P(t) 5 8000(2.718)t P 5 15,000 ? 1.04t A 5 25(1.18) Q 5 t 275 ? 3T

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QUESTION:

The following exponential functions represent population growth. Identify the initial population and the growth factor. a. d. b. e. c. f. 4 3 (x) 5 4 ? 105(2.5)x y 5 (6 ? 108) ? 5x P(t) 5 8000(2.718)t P 5 15,000 ? 1.04t A 5 25(1.18) Q 5 t 275 ? 3T

ANSWER:

Step 1 of 7

The exponential functions represent population growth. We need to identify the initial population and the growth factor. Initial population means population at time t=0 and growth factor is the rate at which population is increasing every year.

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