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
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