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2 years ago

After how many months will colony 2 always have more bacteria than colony 1?

Mathematics

1 answer:

MaRussiya [10]2 years ago

6 0

The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months

<h3>How to determine the number of months?</h3>

The functions are given as:

Colony 1: f(x) = x^2
Colony 2: g(x) = 2^x

When colony 2 has more bacteria than colony 1, then it means that:

g(x) >f(x)

Substitute the function values

2^x > x^2

From the graph of both functions, we have:

2^x > x^2 at x >4

This means that colony 2 will always have more bacteria than colony 1 after 4 months

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