Respuesta :
Answer:
The bacterial culture loses [tex]\dfrac{5}{8}[/tex] of its size every 7 seconds.
Step-by-step explanation:
The relationship between the elapsed time t, in seconds, and the number of bacteria, N(t), in the petri dish is modeled by the function:
[tex]N(t)=4900\cdot\left(\dfrac38\right)^{t/7}[/tex]
Since the growth factor is less than 1, it is a decay equation.
[tex]\dfrac38=1-\dfrac58\\N(t)=4900\cdot\left(1-\dfrac58\right)^{t/7}[/tex]
Observe that the time t is divided by 7.
This is the period.
We can therefore say that the bacterial culture loses [tex]\dfrac{5}{8}[/tex] of its size every 7 seconds.