Math Problem Statement

At the beginning of the year​ 1995, the population of Townsville was 3393. By the beginning of the year 2013​, the population had reached 4982.   Assume that the population is growing​ exponentially, answer the following. ​A) Estimate the population at the beginning of the year 2019. ROUND TO THE NEAREST PERSON. The population at the beginning of 2019 will be about enter your response here. ​B) How long​ (from the beginning of​ 1995) will it take for the population to reach​ 9000? ROUND TO 2 DECIMAL PLACES. The population will reach 9000 about enter your response here years after the beginning of 1995. ​C) In what year​ will/did the population reach​ 9000? The population will​ (or did) hit 9000 in the year enter your response here.

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Growth
Population Growth

Formulas

P(t) = P_0 * e^(kt)
k = (1/t) * ln(P(t)/P_0)

Theorems

Exponential Growth Theorem

Suitable Grade Level

Grades 9-12