Question

1. a certain type of bacteria doubles every hour. if there are 25 bacteria to begin with, how many will there be after 12 hours?

Explanation:

Step1: Identify growth formula

This is exponential growth, formula: $N(t) = N_0 \times 2^t$
Where $N_0=25$ (initial count), $t=12$ (hours)

Step2: Substitute values into formula

$N(12) = 25 \times 2^{12}$

Step3: Calculate $2^{12}$

$2^{12} = 4096$

Step4: Compute final bacteria count

$N(12) = 25 \times 4096$

Answer:

102400