ytorre1876
contestada

After a certain medicine is ingested, its concentration in the bloodstream changes over time.
The relationship between the elapsed time, ttt, in minutes, since the medicine was ingested, and its concentration in the bloodstream, C_{\text{minute}}(t)C
minute
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(t)C, start subscript, start text, m, i, n, u, t, e, end text, end subscript, left parenthesis, t, right parenthesis, in \text{mg/L}mg/Lstart text, m, g, slash, L, end text, is modeled by the following function:
Cminute(t)=61⋅(0.96)t
Complete the following sentence about the hourly rate of change in the medicine concentration.
Round your answer to two decimal places.
Every hour, the medicine concentration decays by a factor of

Respuesta :

Answer:

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

Step-by-step explanation:

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

[tex]C(t)=61\cdot (0.96)^{t}[/tex]

The decay function is:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final amount

a = initial amount

r = decay rate

t = time

From the provided expression the decay rate is:

[tex]1-r=0.96\\r=1-0.96\\r=0.04[/tex]

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

hannahyang025

Answer:

Every hour, the medicine concentration decays by a factor of 0.09

Step-by-step explanation:

enjoy :)