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blsea [12.9K]
2 years ago
10

After a certain medicine is ingested, its concentration in the bloodstream changes over time.

Mathematics
2 answers:
myrzilka [38]2 years ago
8 0

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

Mashcka [7]2 years ago
7 0

Answer:

0.09

Step-by-step explanation:

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