Question

A population of 6000 bacteria is growing at a rate of 16% each day. Let y be the number of bacteria, and x be the number of days.

Which of the following represents the relationship between the number of bacteria (y) and the number of days (x)?

A) y = 6000x + 0.16
B) y = 6000 * (1.16)^x
C) y = 6000 - 0.16x
D) y = 0.16x - 6000

Answer 1

The relationship between the number of bacteria (y) and the number of days (x) can be represented by the equation y = 6000 * (1.16)^x.

Step-by-step explanation:

The relationship between the number of bacteria (y) and the number of days (x) can be represented by the equation y = 6000 * (1.16)^x. This is because the population of bacteria is growing at a rate of 16% each day, so each day the population increases by 16% of the previous day's population.