A number of bacteria, [math]f(t)[/math], at any time [math]t[/math], in hours, can be estimated using the function [math]f(t) = 3000(1.24)^t[/math]. Determine the [math]y[/math]-intercept of the function and describe what it means in terms of this situation. Is the bacteria population exponentially decaying or growing?
[list=1] [*]Determine the [math]y[/math]-intercept of the function and explain what it represents. [*]Identify the hourly rate of change in the function. [*]Describe how the rate of change relates to the change of the dependent quantity. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.