f) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Explain how your exponential equation in (b) would change.
y=1*3x****
b) is
Bacteria name: Staphylococcus aureus
Generation Time: 30 minutes
*Note: The generation time tells you how often the bacteria cells are doubling. If a bacterium had a generation time of 15 minutes, then it doubles four times each hour.
a) Identify each of the following:
Generic Form of Any Exponential Function: y=a⋅bx
a = initial amount
b = growth rate
x = time
*The x value will always be changing. It is your independent variable.
b) Write an exponential equation representing your bacteria: y=1⋅2x
In the given question, it is stated that the bacteria still grew by the same growth factor, which means the growth rate (b) remains the same. However, the initial amount (a) is different, as in this case, you start with 100 bacteria instead of 1.
To modify the exponential equation (b) according to the given scenario, you need to replace the initial amount (a) with the new value of 100. Therefore, the modified exponential equation representing the bacteria growth would be:
y = 100 * 2^x
This equation shows that the number of bacteria (y) will exponentially increase with time (x) according to the growth rate of 2.