Question: A biologist is modeling the growth of two bacteria colonies using the following expressions, where d represents days after observation began: Colony A grows according to: A(d)=2^d*4^2, Colony B grows according to B(d)=8^d. Using properties of exponents, which of the following is true about the relationship between the colonies over time?
A) Colony A always grows faster than Colony B for any d>1
B) Colony B always grows faster than Colony A for any d>1
C) Colonies A and B grow at the same rate for all values of d
D) The colonies grow at the same rate only when d=2
Correct answer: B
Grade: 8 | Topic: Expressions and Equations | Difficulty: Hard | Standard: 8. EE. A. 1