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 number of bacteria decays by a factor of \dfrac{1}{15} 15 1 ​ start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.

Answer 1

The function that models the number of bacteria t minutes since the medicine was introduced is N(t) = 90,000 × (1/15)t/6.7.

Step-by-step explanation:

To model the number of bacteria in the Petri dish after the introduction of the medicine, we can use the equation N(t) = N0 × (1/15)t/6.7, where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria (90,000 in this case), and t is the time in minutes since the medicine was introduced. Let's plug in the values to find the function:

N(t) = 90,000 × (1/15)t/6.7

So, the function that models the number of bacteria t minutes since the medicine was introduced is N(t) = 90,000 × (1/15)t/6.7.

Answer 2

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.