: 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.

this is not the answer this is just a question. is this middle school math?

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3