Question

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

Answer 1

Answer:

The function that this scenario represents is:

$P(x) = 5(4) ^ x$

Step-by-step explanation:

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

year 1: $5 * (4) = 20$ foxes

year 2: $5 * 4 * (4) = 80$ foxes

year 3: $5 * 4 * 4 * (4) = 320$ foxes

year x: $5 * 4 ^ x$ 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:

$P(x) = 5(4) ^ x$