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A population 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? f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0 f(x) = 5000(0.6)x, with a vertical asymptote of x = 0 f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0 f(x) = 5000(1.6)x, with a vertical asymptote of x = 0 Mark this and return

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It is estimated that 5000 live bacteria existed in the sample before treatment. After each day oftreatment, 40% of the sample remains alive. Which best describes the graph of the function thatrepresents the number of live bacteria after x days of treatment? f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0 f(x) = 5000(0.6)x ...

The function that represents the number of live bacteria is f(x) = 5000 ( 0.4)ˣ with a horizontal asymptote of y = 0,  the correct option is A.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The initial number of bacteria that exists in the sample is 5,000

After treatment each day the bacteria that are alive is 40% of the sample.

The function that represents the number of live bacteria is

f(x) = 5000 ( 0.4)ˣ

with a horizontal asymptote of y = 0

Therefore, the correct option is A.

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