The concentration c(t) of a certain drug in the bloodstream after t minutes is given by the formula c(t)=0.04(1−e−0.2t). what is the concentration after 13 minutes? round to three decimal places.

We know the concentration equation of a drug after t minutes, with that, we want to get the concentration after 13 minutes, which is:

c(13) = 0.037

So we know that the equation for the concentration after t minutes is:

We want to get the concentration after 13 minutes, so we just need to evaluate t = 13 in the above equation, we will get:

This is the concentration after 13 minutes.

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0.037

Step-by-step explanation:

The question presents an exponential model linking concentration to the time.

We are supplied with the time here and we are asked to get the value for the concentration. What we simply need to do

Is to make a direct substitution

Thus, the concentration after 13 minis is as follows:

C(t) = 0.04(1 - e-0.2(13))

C(t) = 0.04( 1 - 0.074273578214)

C(t) = 0.04(0.925726421786)

C(t) = 0.037029056871

C(t) = 0.037 to three decimal places

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.