Final answer:
The question pertains to the mathematical model of a decreasing tree population in a forest, represented by an exponential decay function. This concept helps in understanding different scenarios of population dynamics, such as the spread of diseases or resource consumption.
Step-by-step explanation:
The question involves a mathematical model of how the population of trees in a forest decreases over time, expressed as p=90*(3/4)ᵗ, where p represents the population in thousands and t is the time in years since the year 2000. This model is an application of exponential decay, which describes a situation where the quantity decreases at a rate proportional to its current value. Such a model is often used in the context of biology for modeling population dynamics, but the question itself is purely mathematical in nature.
To analyze the population change, one would substitute different values of t into the equation to see how the population of trees has changed over a given number of years. This mathematical concept is important in understanding how populations grow or decay over time, which can be applied to real-world situations such as the spread of diseases in forests or wildlife populations, the consumption of resources, or the growth of human populations.
The scenario described is similar to the way population modeling might be used in ecology, with examples that might use the logistic model or exponential growth and decay models to describe population sizes and their growth rates under various circumstances, including resource limitations and diseases.