Question

3. The function defined by m(h) = 300 * (3/4) ^ h represents the amount of a medicine, in milligrams, in a patient's bodyrepresents the number of hours after the medicine is administered . a. What does m(0.5) represent in this situation?

Answer 1

This means that after 0.5 hours, 259.81 milligrams of the medicine remain on the patient's body.

What does m(0.5) represent in this situation?

We know that the exponential function defined by:

$m(h) = 300*(3/4)^h$

Represents the amount of a mediciene, in milligrams, after a number of hours h.

We want to see what does m(0.5) represent. This is the exponential function evaluated in h = 0.5

Then, it just represents the amount of medicine, in miligrams, in a patient's body present 0.5 hours after the medicine was administered.

Replacing h = 0.5 we get:

$m(0.5) = 300*(3/4)^{0.5} = 259.81$

This means that after 0.5 hours, 259.81 milligrams of the medicine remain on the patient's body.

If you want to learn more about exponential functions:

https://brainly.com/question/11464095

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