hours population

0 1
1 88
2 6464
3 512512
4 4 comma 0964,096
5 32 comma 76832,768
6 262 comma 144262,144


Question 3
Explain why this table represents exponential growth.(2 points)
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Question 4

This table represents exponential growth because the population values increase rapidly and continuously as the hours increase. Exponential growth occurs when a quantity increases by a fixed percentage over a fixed interval of time. In this table, the population values increase exponentially because they are multiplying by a constant factor as the hours increase. For example, from hour 1 to hour 2, the population increases from 88 to 6464, which is a multiplication by a factor of approximately 73.6. Similarly, from hour 2 to hour 3, the population increases from 6464 to 512512, which is a multiplication by a factor of approximately 79.4. This pattern of continuous multiplication by a factor indicates exponential growth.