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Bacteria: Math Lesson: Activity 3 of 3

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Let’s take a look again at bacterial growth. There’s something exponential about it. Look at the red numbers along the curve. Do you see a pattern?

The graph shows that bacteria double every hour. So we multiply the number of cells by 2 for every hour that passes. This is a pattern called exponential growth.

For example, at 1 hour, we have 2 cells. At 2 hours, the cells have doubled, so now we have 2 × 2 = 4 cells. 2 × 2 is the same as 2². So we can say that at 2 hours there are 4, or 2² cells. The pattern continues: at 3 hours, we have 2³ cells, and so on as you see in the last row in the table below.

Continue the table. How would you write the number of cells at 10 hours in exponential form? Fill in the exponent.

2⁽ ⁾

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