Question

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

Answer 1

Answer :

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.