Question

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.

Answer 1

Answer:

N(t)=90,000⋅(1/15)^t/6.7

ur welcome

Answer 2

The  function that models the number of remaining bacteria t seconds since the medicine was introduced is$n(t) = 11,880(3\div 4)^{1\div 44}$

Calculation of the function:

Since

The equation of an exponential decay function is

$N(t) = a(1 - r)^t$

Here,

N(t) is the number of remaining bacteria

t is the time in seconds every 44 seconds

a is the initial value

r is the rate of change

So, based on this, we can conclude that The  function that models the number of remaining bacteria t seconds since the medicine was introduced is$n(t) = 11,880(3\div 4)^{1\div 44}$

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