Question

some populations, such as bacteria, can be expected under the right conditions to show exponential growth. if 3000 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find 3000×1.07^t bacteria present. how many bacteria would we expect to find after 14 hours? (round your answer to the nearest whole number.)
how many after 2 days? (round your answer to the nearest whole number.)

Explanation:

Step1: Substitute $t = 14$

$N_1=3000\times1.07^{14}$
$N_1 = 3000\times2.578534$
$N_1\approx7736$

Step2: Convert 2 days to hours ($2\times24 = 48$ hours) and substitute $t = 48$

$N_2=3000\times1.07^{48}$
$N_2 = 3000\times22.95252$
$N_2\approx68858$

Answer:

7736
68858