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a pond is stocked with 150 fish, and their population increases by 20% …

Question

a pond is stocked with 150 fish, and their population increases by 20% every month. how many fish will there be after 2 months?

future amount = ? (1 + )

future amount = i(1 + r)^t

enter the number that belongs in the green box.

Explanation:

Identify the exponential growth formula components

Using the Percentage Calculations knowledge point

$$ \text{Future Amount} = I(1 + r)^t $$

where:

  • \(I\) represents the initial amount (starting population).
  • \(r\) represents the growth rate as a decimal.
  • \(t\) represents the time elapsed in months.

Determine the value for the initial amount

Using the Percentage Calculations knowledge point

$$ LATEXBLOCK0 $$

Match with the given template

Using the Percentage Calculations knowledge point

$$ LATEXBLOCK1 $$

The green box \([?]\) corresponds to the initial amount \(I\), which is \(150\).

Answer:

Enter the number that belongs in the green box.

Future Amount = <blank>150</blank>\((1 + 0.2)^2\)