PLEASE HELP In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11%.
a. Write an exponential function to model the deer population.
b. Explain what each value in the model represents.
c. Predict the number of deer that will be in the region after five years.

Question

PLEASE HELP  In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11%.
a. Write an exponential function to model the deer population.
b. Explain what each value in the model represents.
c. Predict the number of deer that will be in the region after five years.

sunnnystrong · Answer

Okay so recall that:
$$A(n)=A _{0}(b)^n$$
A(n)=Amount
Ao=Initial 
B=Growth factor (1+percent of growth)
n=Variable

jenny345g · Answer

Okay

sunnnystrong · Answer

@Jenny345G ... What do you think the exponential equation is?
If Ao=330 & The percent of growth is 11% (.11)?

jenny345g · Answer

Uhm ) 330(1.11)^n ?

sunnnystrong · Answer

Yep!! :D Good job!

sunnnystrong · Answer

Now, what do these variables mean....
If
$$f(x)=330(1.11)^x$$

jenny345g · Answer

The number of deer after  x years?

sunnnystrong · Answer

Yep (:
Last part is just asking you to compute f(5)

jenny345g · Answer

330*1.11^5 = 556 deer I think

sunnnystrong · Answer

Good job! (:

jenny345g · Answer

Thanks sunny!

sunnnystrong · Answer

Anytime :D Always happy to help!