Question

The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, what is the growth rate?

Answer 1

Hello!

The answer is: 50% (0.5)

Why?

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

`y=S(1+r)^(t)`

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

`f(t) = 3(1 + 0.5)^(nt)`

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

`GrowthRate(Percentage)=0.5*100=50(Percent)`

So, the growth rate is 50%.

Have a nice day!