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A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
number of cells, y, in the colony over time, x, in hours.
Time, x (hours)
0
Number of Cells, y
100
1
200
N
400
h
6,400
Replace the values of A, b, x, and y to write an exponential equation that represents the number of
cells present at h hours.

Respuesta :

raphealnwobi

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

RikaFurude

Answer:

100(2)^h=6,400

Step-by-step explanation:

Explanation:

For an equation in the form A(b)^x=y, A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100.

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2. So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is .100(2)^h=6,400

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