Question

question 1 (multiple choice worth 1 points) (05.01r mc) a bacteria culture begins with 4 bacteria, which double in size every hour. how many bacteria exist in the culture after 8 hours? 128 256 1,024 8,192

Explanation:

Step1: Define exponential growth formula

This is exponential growth where population doubles hourly. The formula is $N(t) = N_0 \times 2^t$, where $N_0$ is initial population, $t$ is time in hours.

Step2: Plug in given values

$N_0 = 4$, $t = 8$. Substitute into formula: $N(8) = 4 \times 2^8$

Step3: Calculate $2^8$ first

$2^8 = 256$

Step4: Compute final population

$N(8) = 4 \times 256 = 1024$

Answer:

1,024