Question

Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1,000(1+0.3)h finds the number of amoebas after h hours. Which statement about this expression is true?

A. It is the product of the initial population and the growth factor after h hours.


B. It is the sum of the initial population and the percent increase.


C. It is the initial population raised to the growth factor after h hours.


D. It is the sum of the initial population and the growth factor after h hours.

Answer 1

the answer should be A

Step-by-step explanation:

Answer 2

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Step-by-step explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

`1000* (30)/(100) =1000* 0.3`

Total population after h hours is,

`1000(1+0.3)^h`

It is in the form of,

`P(t)=P_0(t)(1+r)^t`

Where
`P_0(t)` is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.

In the above equation 1000 is the initial population and
`(1+0.3)^h` is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.