Question

bacteria are growing in a liquid growth medium. there were 300,000 cells per milliliter during an initial observation. the number of cells per milliliter doubles every 3 hours. how many cells per milliliter will there be 15 hours after the initial observation? a) 1,500,000 b) 2,400,000 c) 4,800,000 d) 9,600,000

Explanation:

Step1: Calculate doubling periods

$\text{Number of periods} = \frac{15}{3} = 5$

Step2: Apply exponential growth formula

$\text{Final count} = 300000 \times 2^5$

Step3: Compute the final value

$300000 \times 32 = 9600000$

Answer:

D) 9,600,000