After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The population loses \dfrac 14 4 1 start fraction, 1, divided by, 4, end fraction of its size every 444444 seconds. The number of remaining bacteria can be modeled by a function, NNN, which depends on the amount of time, ttt (in seconds). Before the medicine was introduced, there were 11{,}88011,88011, comma, 880 bacteria in the Petri dish. Write a function that models the number of remaining bacteria ttt seconds since the medicine was introduced.

Function:  

Step-by-step explanation:

The population loses 1/4th every 4 seconds, amount of original.

Initial amount of bacteria was 11,880

1/4 = 0.25

Looses 0.25 so that means 1 - 0.25 = 0.75 remaining of total every 4 seconds

We can model using exponential equation of the form:

Where

C is the initial amount (given as 11,880)

I is the remaining factor, we found to be 0.75

n is the seconds it takes to go to 0.75 of its original, n = 4 because it is given in 4 seconds

Now, substituting, we find the equation:

answer: 25 is the correct answer

step-by-step explanation:

29 is the correct answer

step-by-step explanation: