After a dog or cat is given a preventive flea medicine, the medicine begins to break down in the animal’s bloodstream. With each passing hour, there is less active medicine in the blood.

Question

a. Complete the table and then draw a graph to show the amount of active medicine in a dog or cat’s bloodstream each hour for 6 hours after a 20-milligram dose.

This is what is given in the table:
Time since dose (hours) Active medicine in blood (milligrams)
0 20
1 10


This is how I completed the table:
Time since dose (hours) Active medicine in blood (milligrams)
0 20
1 10
2 5
3 2.5
4 1.25
5 0.625
6 0.3125

b. Write an equation to model the relationship between the number of hours since the dose was administered, h, and the miligrams of active medicine, m.

Since my graph shows this is exponential decay, since it's losing medicine each hour, I wrote my equation as:

m = 20(.5)^h

c. c. How much active medicine would be in the animal’s bloodstream after 10 hours?

0.0195 mg

Thank you for checking my answers for me.

Answer 1

Your answers are correct : )