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Medicine and You: Completed Table
Concepts Overview
| Healthy Hearts | Comparing Calories
| Medicine and You
| Answers
| More Math Concepts
| Day |
Amount of Medicine in System Just Before Pill
is Taken |
Amount of Medicine in System Just After Pill is
Taken |
| 1 |
0 |
50 |
| 2 |
30 |
80 |
| 3 |
48 |
98 |
| 4 |
58.8 |
108.80 |
| 5 |
65.28 |
115.28 |
| 6 |
69.17 |
119.17 |
| 7 |
71.50 |
121.50 |
| 8 |
72.90 |
122.90 |
| 9 |
73.74 |
123.74 |
| 10 |
74.24 |
124.24 |
| 11 |
74.55 |
124.55 |
| 12 |
74.73 |
124.73 |
| 13 |
74.84 |
124.84 |
| 14 |
74.90 |
124.90 |
1.
50 mg
2.
During the day, the body washes out 40% of the medicine,
or 20mg. That leaves 30mg from day 1.
3.
30mg. from day 1 plus 50mg. from day 2 equals a total
of 80mg.
4. See the completed
table. You may want to have the students use calculators and recursive equations
to generate this data. The equation would be NEXT = (NOW * 0.6) + 50.
5.
The maximum level of the medicine is 125 mg. At that
level, the 40% lost during each day is equal to the
50 mg taken each morning.
6.
0 mg
7.
30 mg.
8. See the completed
table. This is always 50 mg less than after taking the pill.
9.
The minimal amount of medicine in the body would be
75 mg. The patient obtains a maximum level of 125 mg
and loses 40% of that, which reduces it to 75 mg.
10.
The level of medicine in the patient’s body will not
drop below 50 mg after they have taken the medicine
on day 3. Just prior to taking the medicine, the level
is 48 mg and the next lowest time would be the next
day when it drops to 58.8 mg.
11.
The level of medicine will be 42.9 mg, which is equal
to 71.5 mg x 0.6 for the amount lost during day 7.
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