After some food is introduced into a petri dish containing bacteria, the number of bacteria in the dish increases
rapidly.
The relationship between the elapsed time, t, in seconds, since the food was introduced, and the total number of
bacteria, N(t), is modeled by the following function:
N(t) = 1000 - 8
Complete the following sentence about the rate of change of the bacterial culture.
Round your answer to two decimal places.
The number of bacteria is doubled every
seconds.

So, 8 in 8^t can be factored as 2^3. Then, (2^3)^t would further become 2^3t. Note: nothing changed, 8^t was just factored. We know that doubled is times two, and in our factored form, there is a two! Lastly, if t= 1/3 aka 0.33, the exponent would become one; and the whole thing would just be two, which is doubled. Our final answer is 0.33 seconds. Hope this helps!

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