Answer:
At the end of first 12 hours = 22.5mg
At the end of the first day = 45mg
At the end of the tenth day = 450mg
Step-by-step explanation:
Hello,
Sophia's doctor prescribed 500mg of drug for her every 12hrs.
At the end of 12 hours, she found out she has 4.5% of the drug in her blood.
What is the amount of the drug in her blood after 12 hours?
After 12 hours = 4.5 / 100 = x / 500mg
x = (4.5 × 500) / 100
x = 22.5mg
At the end of the first 12 hours, she has 22.5mg of the antibiotic in her body.
2. At the end of the second dose, she has
22.5mg + 22.5mg = 45mg of the drug in her body
3. at the end of the third dose, she has (22.5 + 22.5 + 22.5)mg in her body = 67.5mg
4. At the end of the fourth dose, she has (22.5 + 22.5 + 22.5 + 22.5)mg in her body = 90mg
Since 1 day contains 24hrs = 2 × 12hrs
The amount of drug present in her body at the end of the first day = (22.5 + 22.5)mg = 45mg
Assuming the concentration of the drug does not decrease over the course of the 10 days, there's an increase of 45mg of the antibiotic in her body every day
First day = 45mg
Second day = 45mg × 2 = 90mg
Third day = 45mg × 3 = 135mg
Fourth day = 45mg × 4 = 180mg
Fifth day = 45mg × 5 = 225mg
Sixth day = 45mg × 6 = 270mg
Seventh day = 45mg × 7 = 315mg
Eighth day = 45mg × 8 = 360mg
Ninth day = 45mg × 9 = 405mg
Tenth day = 45mg × 10 = 450mg
At the end of the tenth day, the amount of antibiotic present in her blood would be 450mg
