Algebra 2/Precalc W4DI: Homework Period: Drug Filtering Directions: As always show all your work. Show your thinking and answer each question with complete sentences. Feel free to show work in any of the white space on this page. 1. Assume that your kidneys can filter out 25% of a drug in your blood every 4 hours. You take one 1000-milligram dose of the drug. Fill in the table showing the amount of the drug in your blood as a function of time. The first two data points are already completed. Round each value to the nearest milligram. TIME SINCE TAKING THE DRUG (HR) 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 Name: 64 68 AMOUNT OF DRUG IN YOUR BLOOD (MG) 1000 750
Algebra 2/Precalc W4DI: Homework Period: Drug Filtering Directions: As always show all your work. Show your thinking and answer each question with complete sentences. Feel free to show work in any of the white space on this page. 1. Assume that your kidneys can filter out 25% of a drug in your blood every 4 hours. You take one 1000-milligram dose of the drug. Fill in the table showing the amount of the drug in your blood as a function of time. The first two data points are already completed. Round each value to the nearest milligram. TIME SINCE TAKING THE DRUG (HR) 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 Name: 64 68 AMOUNT OF DRUG IN YOUR BLOOD (MG) 1000 750
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
can someone help me with this?
Transcribed Image Text:# Drug Filtering
**Directions:** As always, show all your work. Show your thinking and answer each question with complete sentences. Feel free to show work in any of the white space on this page.
1. Assume that your kidneys can filter out 25% of a drug in your blood every 4 hours. You take one 1000-milligram dose of the drug. Fill in the table showing the amount of the drug in your blood as a function of time. The first two data points are already completed. Round each value to the nearest milligram.
| Time Since Taking the Drug (hr) | Amount of Drug in Your Blood (mg) |
|---------------------------------|-----------------------------------|
| 0 | 1000 |
| 4 | 750 |
| 8 | |
| 12 | |
| 16 | |
| 20 | |
| 24 | |
| 28 | |
| 32 | |
| 36 | |
| 40 | |
| 44 | |
| 48 | |
| 52 | |
| 56 | |
| 60 | |
| 64 | |
| 68 | |
**Explanation:**
The table illustrates how the concentration of a drug decreases over time due to the body's ability to filter out 25% of the drug every 4 hours. The starting concentration is 1000 milligrams. The table shows time intervals in hours and the corresponding amount of the drug left in the bloodstream. Students are expected to apply their understanding of exponential decay to calculate the remaining drug concentration at each interval, rounding to the nearest milligram.
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
