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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)

Respuesta :

Answer:

D.

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

Step-by-step explanation:

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

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

In the given function

[tex]n(t) = 8,000(0.79)^t[/tex]

The asymptote, y=0

If t=0

[tex]n(0) = 8,000(0.79)^0=8000[/tex]

Therefore:

Aymptote: y=0

y-intercept: (0,8000)

The correct option is D.

lakryabeard

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)

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