Question

The two different bacteria are growing in a lab. the following functions represent the bacteria.

Which of the following statements are true? Select all apply.


Bacteria A: f(x)= 1000 *3x^, where is number of hours

Bacteria B: f(x)= 3000 *2x^, where is number of hours


Bacteria B is growing at a faster rate than Bacteria A.


Bacteria B started with 3000 bacteria.


Bacteria A doubles every three hours.


Bacteria B doubles every hour.


In three hours, the amount of Bacteria A will be greater than the amount of Bacteria B.

Answer 1

Bacteria B started with 3000 bacteria.

Bacteria B doubles every hour.

In three hours, the amount of Bacteria A will be greater than the amount of Bacteria B

Explanation:

Answer 2

Bacteria B started with 3000 bacteria.

Bacteria B doubles every hour.

In three hours, the amount of Bacteria A will be greater than the amount of Bacteria B.

Bacteria A:
`f(x)= 1000 *3^x`

x=0 , y = 1000

x=1 , y = 3000

x=2 , y = 9000

x=3 , y = 27000

Bacteria A:
`f(x)= 3000 *2^x`

x=0 , y = 3000

x=1 , y = 6000

x=2 , y = 12000

x=3 , y = 24000

From this table we can see that Bacteria B started with 3000 bacteria.

Bacteria B doubles every hour, 3000, 6000, 12000, 24000

In 3 hours , Bacteria A = 27000 and Bacteria B = 24000

So,In three hours, the amount of Bacteria A will be greater than the amount of Bacteria B.