An antibiotic is added to a bacteria culture. The function, n(t), represents the count of bacteria alive with respect to time in seconds in

Question

An antibiotic is added to a bacteria culture. The function, n(t), represents the count of bacteria alive with respect to time in seconds in an exponential manner.

n(t) = 8,000(0.79)t

What is the asymptote and y-intercept of the function that represents the count of bacteria alive?

A.
asymptote: y = 1
y-intercept: (0 , 6,000)
B.
asymptote: y = 0
y-intercept: (0 , 5,000)
C.
asymptote: y = 1
y-intercept: (0 , 8,000)
D.
asymptote: y = 0
y-intercept: (0 , 8,000)

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Vivian 1 week 2021-09-13T16:06:07+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T16:07:12+00:00

    Answer:  the answer is a i checked and got it right

    A.

    asymptote: y = 0

    y-intercept: (0 , 8,000)

    B.

    asymptote: y = 1

    y-intercept: (0 , 8,000)

    C.

    asymptote: y = 0

    y-intercept: (0 , 5,000)

    D.

    asymptote: y = 1

    y-intercept: (0 , 6,000)

    0
    2021-09-13T16:07:31+00:00

    Answer:

    D.

    • Asymptote: y = 0
    • y-intercept: (0 , 8000)

    Step-by-step explanation:

    Exponential functions of the form y=a(b^x)+c always have an horizontal asymptote at y=c

    The y-intercept is the value of the function when x=0

    In the given function

    n(t) = 8,000(0.79)^t

    The asymptote, y=0

    If t=0

    n(0) = 8,000(0.79)^0=8000

    Therefore:

    Aymptote: y=0

    y-intercept: (0,8000)

    The correct option is D.

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