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

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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.

Mathematics

2 answers:

Blizzard [7] · Answer 1 · 2023-11-16T01:36:29+03:00

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

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

$1000\times \frac{30}{100} =1000\times 0.3$

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.