Question

If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the population be in 630 minutes and is it modeled by a linear function or an exponential function?

A) 24,000; linear function
B) 24,000; exponential function
C) 64,000; linear function
D) 64,000; exponential function

Answer 1

D is the answer

64,000 exponential function

Explanation:

64,000 exponential function

The number of bacteria in a colony doubles every 210 minutes.

The population of bacteria = 8000

Determine how many times the population will double.

`(630)/(210)`

= 3

Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000