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

Answer:

C

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

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

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

Therefore, our function is:

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

We can do some elimination first.

First, the starting point or y-intercept must be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically 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.

B is definitely not 840 (at x=10). However, C is right around it.

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

And we're done!