**Question 39:**You are taking an 800-mg dose of an antibiotic every 8 hours. Your body eliminates 50% of the drug in 8 hours. How much of the drug will be in your system after three doses?**Explanation:**This question involves calculating the remaining amount of a drug in the system after multiple doses, taking into account the body's elimination rate.1. **Initial Dose (First Dose):** - Dose: 800 mg - After 8 hours, the body eliminates 50% of the drug. - Remaining drug after 8 hours: 800 mg * 0.5 = 400 mg2. **Second Dose:** - New dose after 8 hours: 800 mg - Total drug amount in the system right after the second dose: 400 mg (remaining from first dose) + 800 mg = 1200 mg - After the next 8 hours, the body eliminates 50% of the drug. - Remaining drug after 8 hours: 1200 mg * 0.5 = 600 mg3. **Third Dose:** - New dose after another 8 hours: 800 mg - Total drug amount in the system right after the third dose: 600 mg (remaining from second dose) + 800 mg = 1400 mg - After the next 8 hours, the body eliminates 50% of the drug. - Remaining drug after 8 hours: 1400 mg * 0.5 = 700 mgSo, after three doses, there will be **700 mg** of the drug in your system.

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You are taking an 800-mg dose of an antibiotic every 8 hours. Your body eliminates 50% of the drug in 8 hours. How much of the drug will be in your system after three doses?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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