3. The function defined by m(h) = 300 * (3/4) ^ h represents the amount of a medicine, in milligrams, in a patient's bodyreprese

Question

2 years ago

7

nts the number of hours after the medicine is administered . a. What does m(0.5) represent in this situation?

1 answer:

Kitty [74] · Answer 1 · 2023-02-21T11:36:42+03:00

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

<h3>What does m(0.5) represent in this situation?</h3>

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:

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