maddieb1011
12.10.2019 •
Biology
Apopulation of bacteria is treated with an antibiotic. it is estimated that 5,000 live bacteria existed in the sample before treatment. after each day of treatment, 40% of the sample remains alive. which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
a. f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
b. f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
c. f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
d. f(x) = 5000(1.6)x, with a vertical asymptote of x = 0
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Ответ:
Ответ:
The correct option is A.
Step by step explanation:
The exponential function is defined as
Where, a is initial value and b is growth factor or decay factor.
The initial population of bacteria is 5000.
After each day of treatment, 40% of the sample remains alive. It means the growth factor or decay factor is
Therefore the required function is
The horizontal asymptote is y=0 because
Therefore option A is correct.
Ответ: