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kiruha [24]
3 years ago
13

Toxins in pesticides can get into the food chain and accumulate in the body. A person consumes 12 micrograms a day of a toxin, i

ngested throughout the day. The toxin leaves the body at a continuous rate of 3% every day. Write a differential equation for the amount of toxin, A, in micrograms, in the person's body as a function of the number of days, t.
Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

dA/dt = 12 - 0.03A.

Step-by-step explanation:

The rate at which the toxin is taken in or ingested throughout the day Increases by 12 micrograms a day.

The rate at which the toxin is taken out throughout the day decrease by 3 percent that is 0.03.

The differential equation for the amount of toxin, A, in micrograms, in the person's body as a function of the number of days, t = dA/dt.

The rate at which the toxin is taken in or ingested makes dA/dt more positive.

The rate at which the toxin is taken out throughout the day makes dA/dt more negative.

Therefore, dA/dt = (rate at which the toxin is taken in or ingested) - ( The rate at which the toxin is taken out throughout the day).

Hence, dA/dt = 12 - 0.03A

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Answer:

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Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

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7 0
3 years ago
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3 years ago
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3 years ago
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3 years ago
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