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Scientist released 5 foxes into a new habitat in year 0. Each year, there were four times as many foxes as the year before. How many foxes were there after x years? Write a function to represent this scenario

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luisejr77

Answer:

The function that this scenario represents is:

[tex]P(x) = 5(4) ^ x[/tex]

Step-by-step explanation:

The initial number of foxes was 5. The following year they had

year 1: [tex]5 * (4) = 20[/tex] foxes

year 2: [tex]5 * 4 * (4) = 80[/tex] foxes

year 3: [tex]5 * 4 * 4 * (4) = 320[/tex] foxes

year x: [tex]5 * 4 ^ x[/tex] foxes

Then the equation that models the situation is an equation of exponential growth. Where P(x) is the population of foxes in year x.

So:

[tex]P(x) = 5(4) ^ x[/tex]

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