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sweet [91]
2 years ago
6

The graph shows the population of a bacteria in an experiment, measured every hour.

Mathematics
2 answers:
pickupchik [31]2 years ago
7 0

Answer:

A on edg

Step-by-step explanation:

Just took it

Naddika [18.5K]2 years ago
5 0
Given the graph which <span>shows the population of a bacteria in an experiment, measured every hour.

The graph is a graph of an exponential function.

An exponential function is given by
f(t) = a(r)^t
where: a is the initial value of the function when t = 0,
r is the growth/decay rate, and
t is the time elapsed.

From the graph, the initial size of the population when t = 0 is 10, thus, the value of a in the function is 10.

Also, from the graph, after 2 hours, the popolation of bacteria was 20,
i.e.
20=10(r)^2 \\  \\ r^2=2 \\  \\ r= \sqrt{2} =1.4

Therefore, the </span><span>function representing the population of the bacteria after t hours is
f(t)=10(1.4)^t
</span>
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