Question

after a dose of an antibiotic, the number of bacteria decreases. If the equation is y=27,000(1/3) models this "decay" situation, which value represents the original number of bacteria?

Answer 1

Answer:

27,000

Step-by-step explanation:

We have been given that after a dose of an antibiotic, the number of bacteria decreases. The equation is $y=27,000(\frac{1}{3})^x$ models this "decay" situation. We are asked to find the original number of bacteria.

We know that an exponential decay function is in form $y=a\cdot b^x$, where,

y = Final value,

a = Initial value,

b = Decay factor,

x = Time.

Upon looking at our given equation, we can see that initial value is 27,000, therefore, 27,000 represents the original number of bacteria.