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Suppose that the amount of algae in a pond triples every 2 hours. If the pond initially contains

80 pounds of algae, how much algae will be in the pond after 8 hours? 720

1,280

6,480

320

Verified Answer :

Answer:

The answer is C, 6,480.

Step-by-step explanation:

There are four intervals of two in eight hours.

Since we're trying to find how much algae is in the pond after eight hours, considering that it triples every two hours, we get an equation like this:

80(3^4) which is equal to 6,480.

An equation is formed of two equal expressions. The amount of algae in the pound after 8 hours will equal 6480 pounds.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The amount of algae in the pound triples every two hours, therefore, the equation of the amount of algae after n number of hours can be written as,

Amount of algae = 80pounds×3⁽⁰°⁵ⁿ⁾

Where n denotes the number of hours,

The amount of algae in the pound after 8hours will be equal to,

Amount of algae = 80pounds×3⁽⁴⁾

                            = 6480 pounds

Hence, the amount of algae in the pound after 8 hours will equal 6480 pounds.

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