Write a word problem whose solution involves taking a cube root. State the problem and solve it, showing and explaining all steps.

A bacteria colony increases exponentially every day. There are 24 bacteria on the third day. The bacteria started with only three individuals. How By how much does the bacteria multiply each day?

We know that y=3 when x = 0, and that the bacteria increase exponentially each day. We want to find the base, using our info for day 3 and day 0.

Equation:

24 = 3 * b^3 Divide both sides by 3

8 = b^3 Take the cubed root of each side

2 = b

The bacteria double each day.

Formula:

y = 3 * 2^x

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