A certain type of bacteria decreases according to the model , where is the
population of the bacteria after minutes. What is the initial population of this sample of bacteria?
11,667
13,678
15,678
12,789

Ask by Rowe Chavez. in the United States

Jan 25,2025

Question

A certain type of bacteria decreases according to the model , where is the
population of the bacteria after minutes. What is the initial population of this sample of bacteria?
11,667
13,678
15,678
12,789

Ask by Rowe Chavez. in the United States

Jan 25,2025

UpStudy AI · Accepted Answer

To find the initial population of the bacteria, we need to evaluate the population function $$ P(t) $$ at $$ t = 0 $$.

The population function is given by:

$$
P(t) = 12,789 e^{-0.45t}
$$

Now, let's calculate $$ P(0) $$:

$$
P(0) = 12,789 e^{-0.45 \cdot 0}
$$

Since $$ e^0 = 1 $$, we have:

$$
P(0) = 12,789 \cdot 1 = 12,789
$$

Thus, the initial population of this sample of bacteria is $$ 12,789 $$.

The correct answer is $$ 12,789 $$.
The initial population of the bacteria is 12,789.