Question

A study of the annual population of bees in a county park shows the population, B(t), can be represented by the function B(t)=182(1.065)t, where the t represents the number of years since the study started. Based on the function, what is the growth rate?

Answer 1

The function $B(t) = 182(1.065)^t$ represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function $B(t) = 182(1.065)^t$:

b = 1.065

Growth rate = 1.065 - 1 = 0.065 = 6.5%

The function $B(t) = 182(1.065)^t$ represents the annual population of bees in a county park, the growth rate is 6.5%.

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