Part I: Discussing Percents/Decimals/Fractions and Conversions
Task Background: There are different ways of representing the same value of a number. For instance, 0.5 (a decimal) is equivalent to 50% (a percentage) and to 1/2 (a fraction). Conversions such as these are needed in many applicable areas, such as interest on a loan, calculating savings on discounts, measuring an amount of medicine administered to a patient, and buying a certain amount of carpet.
Primary Task Response: Within the Discussion Board area, write 3–4 paragraphs that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas.
Task Assignment: There are specific procedures to convert a value from a decimal to a percentage (and vice versa), from a fraction to a percentage (and vice versa), and from a decimal to a fraction (and vice versa). Below, you will find four problems in the following areas: Criminal Justice, Business, Medical, and Real Life. Please select any TWO for completion of the task. You must show all steps and every single calculation. Thoroughly explain how and why you did each calculation with complete sentences. Include discussion relating the problem to your own personal experiences or to the real world.
There are many important formulas that are used in the field of criminal justice. For example, the Widmark formula is used to calculate the blood alcohol concentration (BAC) at a particular time for an individual. Widmark’s research found that the average man’s body can hold alcohol in even distribution in 73% of its weight. In other words, 73% of a 150-pound man’s body holds all the alcohol he consumes, in even distribution. 73% of 150 pounds = 0.73 × 150 = 109.5 pounds. Widmark found that the average woman’s body can hold alcohol in even distribution in 66% of its weight.
Many interest rates, such as those on car loans, credit cards, and home loans, are given as a percent. If you need to make any calculations with the percent interest rate, however, you must convert the percent to a decimal.
It is important that physicians know how long a medicine will stay in a patient’s body in order to prescribe dosing instructions so that the patient does not overdose. For example, a patient takes a pill that has a dosage of 50 mg. (milligrams) and wakes up the next day with a particular percentage of the medication washed out.
When buying mulch for your lawn, you find that it is ordered in square yards. You have the area measurements of your lawn in square feet, which you found by multiplying the length of your yard (in feet) times the width (in feet).
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