Question

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year

Answer 1

Answer:P(t)=170·(1.30)

Step-by-step explanation:

We have been given that there are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year.

We can see that deer population is increasing exponentially as each next year the population will be 30% more than last year.  

Since we know that an exponential growth function is in form: f(x)=a*(1+r)^x, where a= initial value, r=growth rate in decimal form.

It is given that a=170 and r=30%.  

Let us convert our given growth rate in decimal form.

30% = $\frac{30}{100}$ = 0.30

Upon substituting our given values in exponential function form we will get,

P(t)=170 · $(1+0.30)^{t}$

P(t)=170 · $(1.30)^{t}$\

Therefore, the function P(t)=170 · $(1.30)^{t}$ will give the deer population P(t) on the reservation t years from now.

Answer 2

Answer:

The answer is P(t)= 170(1.30)^t

Step-by-step explanation:

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