Question

50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world the population of black rhinos is declining of a rate of 10% each year which of the following graphs represents the population of the black rhinos y, after x years?

Answer 1

C

Explanation:

We know that the initial population was 2,400 black rhinos.

And we also know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have 100% - 10% or 90% of the previous year's rhinos.

Therefore, we can write the following function:

`f(x)=2400(.9)^x`

Next, we can eliminate some choices.

First, the starting point (the y-intercept) must be 2,400 because that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B and C, we can also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is not a straight line.

However, to double check, let's check the population after 10 years using our function. So.

`f(10)=2400(.9)^(10)`

Use a calculator:

`f(10)\approx837`

So, after 10 years, the population should be around 840.

At x = 10, B is not around 840. However, C is right around it.

Therefore, we can conclude that C is the right answer.