1 Answer

Rawb · Answer 1 · 2023-02-16T06:35:38+0000

Explanation:

The equation of a exponential function with growth is

$y = a(1 + r) {}^(x)$

Where a is the initial value, r is the growth rate as a decimal, and x is the number of years.

The initial value is 40

R is 0.5, the growth rate

We must find the number of years it take to get 200 rabbits

So y=200

$200 = 40(1 + 0.5) {}^(x)$

$200 = 40(1.5) {}^(x)$

Let graph the function in desmos

According to graph, it takes about 3.9 years for the population to grow to 200 rabbits

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