: A new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

Challenge question: based on the function, how many bears are there predicted to be in 2020? Is the population best described as exponential growth or exponential decay? Justify your reasoning with evidence.

2 bears in 2020.

Step-by-step explanation:

We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

We will use exponential decay formula to solve our given problem as:

, where,

y = Final quantity,

a = Initial value,

r = Decay rate in decimal form,

x = Time

Upon substituting our given values in above formula, we will get:

, where x corresponds to year 2000.

To find the population in 2020, we will substitute in our equation as:

Therefore, 2 bears are there predicted to be in 2020.

Since population is decreasing so population is best described as exponential decay.

step-by-step explanation:

where is the questions