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Sagot :
Answer:
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]F(t) = F(0)(1+r)^{t}[/tex]
In which F(0) is the initial value and F is the growth rate.
A bacteria with an initial size of 180in2 grows by 27% every minute.
This means that [tex]F(0) = 180, r = 0.27[/tex]. So
[tex]F(t) = F(0)(1+r)^{t}[/tex]
[tex]F(t) = 180(1+0.27)^{t}[/tex]
[tex]F(t) = 180(1.27)^{t}[/tex]
In which t is measured in minutes,
What will the size of the bacteria be after 8hours
8 hours has 8*60 = 480 minutes, so this is F(480).
[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]
The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.
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