Question

Scientists are studying a bacteria sample. The

function f(x) = 245(1.12) 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 in this function?
The initial number of bacteria is 12.
The initial number of bacteria decreases at a rate of 88% each
day.
The number of bacteria increases at a rate of 12% each day.
The number of bacteria at the end of one day is 245.

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 ,

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.