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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?

50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there-example-1
50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there-example-1
50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there-example-2
User Oiyio
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7.7k points

1 Answer

3 votes

Answer:

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.

User Jon Shea
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8.3k points
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