1 Answer

Jerin Mathew · Answer 1 · 2024-11-29T04:35:47+0000

Let's plug in x = -2.

$900*3^{\text{x}}\\\\=900*3^(-2)\\\\=900*(1)/(3^2)\\\\=900*(1)/(9)\\\\=(900)/(9)\\\\=100\\\\$

Therefore,
$900*3^{\text{x}}=100 \ \text{ when x = -2}$

It means the bacteria population 2 weeks ago was 100.

A week later it triples to 100*3 = 300. A week after that we're at the present time, and the population reaches 300*3 = 900.

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