Question

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time, t in seconds, and the number of bacteria, Bsecond(t) in the petri dish is modeled by the following function:

Answer 1

Using the given exponential function, we have that:

Every minute, the number of bacteria decays by a factor of 0.98.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, the function is, for the amounts each second:

$Bs(t) = 6000\left(\frac{15}{16}\right)^{t}$

The initial amount is of 6000 bacteria. After 60 seconds = 1 minute, the amount will be of:

$Bs(60) = 6000\left(\frac{15}{16}\right)^{60} = 125$

The decay factor after 1 minute is:

(6000 - 125)/6000 = 98% = 0.98.

More can be learned about exponential functions at brainly.com/question/25537936

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