Answer: Radioactive Decay The half-life of a certain

Chapter 3, Problem 3.1.1.126

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QUESTION:

Exponential Growth The population of River City in the year 1910 was 4200. Assume the population increased at a rate of 2.25% per year.

(a) Estimate the population in 1930 and 1945.

(b) Predict when the population reached 20,000.

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QUESTION:

Exponential Growth The population of River City in the year 1910 was 4200. Assume the population increased at a rate of 2.25% per year.

(a) Estimate the population in 1930 and 1945.

(b) Predict when the population reached 20,000.

ANSWER:

Step 1 of 3

a)

We use the model formula

where  is the initial population and  is the rate of growth.

Let  represent the number of years since 1910.

Here,  and . Hence our equation is

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