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goldfiish [28.3K]
3 years ago
8

Which transformation from the graph of a function f(x) describes the graph of g(x) =10f(x)

Mathematics
1 answer:
Elanso [62]3 years ago
8 0
Multiplying a function by a constant factor (10 in this example) stretches the graph relative to the x-axis. If f(x) would be a sine, you would blow up the amplitude from -1..+1 to -10..+10.


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Answer:

P=40(1.03526)^{t}

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^{t}

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

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The exponential function that models the situation is:

\mathbf{P=40(1.03526)^{t}}

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