Question

The population of a small town can be modeled by the equation where t is the number of years since the collection of the population data began.
Which statement is true?

Answer 1

The true statements is the population was 4800 when the collection of data began. (3rd option)

What is an exponential function?

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = $e^{x}$

Where:

• x = the variable
• e = constant

When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

FV = PV (1 + r)^n

Where:

• FV = future population
• PV = present population
• r = rate of growth
• n = number of years

Given this exponential equation : f(x) = 4800 (1.02)^t

• 4800 = initial population or population when the data collection began
• 2 % = rate of growth
• t = number of years

To learn more about exponential functions, please check: brainly.com/question/26331578

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