Question

B. 24D. 943. The function f(x) = 6,000(0.5)* models the amount of bacteria on a tablex seconds after being sprayed with cleaner. How much of the bacteria hasbeen removed from the table after 3 seconds?c. 4,000A 750D. 5,250B. 2,000

Answer 1

First, evaluate the given function at x=3 to find the amount of bacteria left after 3 seconds:

`\begin{gathered} f(x)=6000(0.5)^x \\ \\ \Rightarrow f(3)=6000(0.5)^3=6000(0.125)=750 \end{gathered}`

There are 750 bacteria left after 3 seconds. Since the initial amount of bacteria was 6000, subtract 750 from 6000 to find the amount of bacteria that has been removed:

`6000-750=5250`

Therefore, the amount of bacteria that has been removed after 3 seconds is 5250.

The correct choice is Option D) 5250.