Question

Scientist are studying a bacteria sample. The function f(x)=245(1.12)^x gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values of the function?

Answer 1

The best interpretation of one of the values of the function is that the rate increases by 12% each day.

Explanation:

Given:

F(x)=245(1.12)^x

To Find:

statement is the best interpretation of one of the values of the function

Solution:

Depending upon the values given the statement can be developed

As the function is itself the exponential growth structure ,

In this the statement ,Growth can be significantly depends on all factor

Such as time period initial value and rate.

But here the formula is simplified as ,

`P=A(1+r)^t`

Here A= initial value r=rate and t =time period

Here A=245 and 1+r=1.12

i.e r=0.12 i.e 12%

Hence the rate give the best interpretation and more information about the function and scenario.