Question

The number of bacteria grown in a lab can be modeled by p(t)=300(2)^4t ,where t is the number of hours. Which expression is equivalent to ?

1) 300 (8)^t
2) 300 (16)^t
3) 300^t (4)^t
4) 300^2t (2)^2t

Answer 1

2. 300(16)∧t

Explanation:

p(t) = 300(2)∧4t

where b is the number of hours

2∧4t =2∧4(t) 2 x2 x2 x2 = 16∧t

p(t) = 300(2)∧4t = 300(16)∧t