Question

The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation .
Select all statements that are true about the situation.





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Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.

Answer 1

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

What is an exponential function?

An exponential function is in the form:

y = abˣ

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

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

$p=2^d$

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

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