Question

Danny conducts a lab test where by introducing a antibiotic to bacteria. To begin with, he had 1,000,000 CFU per milliliter of bacteria and found that the number of bacteria decreased at a rate of 22 percent per day. The situation can be modeled by the equation
b(t)=1,000,000(0.78)t, where b is the amount of bacteria after t days. Which one of the following statements about the key features of the exponential graph for this situation is true?

Answer 1

Danny conducts a lab test where by introducing a antibiotic to bacteria. To begin with, he had 1,000,000 CFU per milliliter of bacteria and found that the number of bacteria decreased at a rate of 22 percent per day. The situation can be modeled by the equation
b(t)=1,000,000(0.78)t, where b is the amount of bacteria after t days. Which one of the following statements about the key features of the exponential graph for this situation is true?
Statement #1: The graph of the function has a horizontal asymptote at t=0 .
Statement #2: The graph of the function has a horizontal asymptote at b=0 .
Statement #3: The graph of the function has a vertical asymptote at t=0 .
Statement #4: The graph of the function has a vertical asymptote at b=0 . (1 point)

Answer 2

The true statement about the key features of the exponential graph for this situation is:

The graph will approach but never reach zero.

Answer 3

The true statement about the key features of the exponential graph for this situation is:

Statement #2: The graph of the function has a horizontal asymptote at b=0.