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?
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?
Answers
GPT 3.5
The true statement about the key features of the exponential graph for this situation is:
The graph will approach but never reach zero.
The graph will approach but never reach zero.
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)
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)
GPT 3.5
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.
Statement #2: The graph of the function has a horizontal asymptote at b=0.
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