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3 years ago

14

There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour. Which linear equation represents the total

depth of the snow, in inches, after x hours?

1 answer:

Liono4ka [1.6K]3 years ago

4 0

Well you could write it like this I'm pretty sure:

3 + .5 (x)= In.

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The height of the cylinder in 2x units

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sergejj [24]

It will take 5.83 hours for the bacteria to reach 1119.

<h3>What is exponential Growth ?</h3>

Exponential growth is when the quantity increases according to the function

$P_t = P_0 e^{ kt}$

It is given in the question that

Initial number of Bacteria is 50

After 3 hours the bacteria has increased to 80

The bacterial growth is an exponential growth

$P_t = P_0 e^{ kt}$

$80 = 50 e^{ k * 3}$

Applying log on both sides

1.6 = 3*k

k = 1.6/3

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if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119

$1119 = 50e^{0.533* t}\\\\3.18 = 0.533 *t\\\\5.83 = t$

Therefore it will take 5.83 hours for the bacteria to reach 1119.

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2 years ago

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Answer:

see the attachment for a table and graph

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