What is the slope of a line with endpoints at (3, 4) and (2, 5)?
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Answer:
Exponential Function
Step-by-step explanation:
The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.
This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:
Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.