Question

A group of 600 bacteria is placed in a dish at 1 p.m. and observed. An hour later, at 2

p.m., 2, 400 bacteria are observed.
Which function models the number of bacteria in the dish h hours after the bacteria
were first placed there?
O g(h)-600(h)4
O g(h) = 600(2)^h
O g(h)=600(4)^h
O g(h) = 2,400(4)^h

Answer 1

The function that models the number of bacteria in the dish h hours after they were first placed there is g(h) = 600(4)^h.

Therefore, the correct answer is: option "g(h) = 600(4)^h".

Step-by-step explanation:

In this case, the initial number of bacteria is 600, and an hour later, at 2 p.m., 2, 400 bacteria are observed.

Therefore, the function that models the number of bacteria in the dish h hours after they were first placed there is g(h) = 600(4)^h.

This function represents exponential growth because the number of bacteria is doubling every hour.

Each hour, the number of bacteria doubles, resulting in an exponential increase.

To verify this function, we can substitute the given data.

After 1 hour (h=1), the function becomes g(1) = 600(4)^1 = 600(4) = 2400, which matches the observed number of 2400 bacteria after 1 hour.