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Questions and Answers
A proportion is an equation that shows the equality between two ____.
A proportion is an equation that shows the equality between two ____.
- Ratios (correct)
- Numbers
- Measurements
- Formulas
A health care worker is told to mix a solution of bleach and water in a ratio of 1 : 10. Which of the following demonstrates this ratio?
A health care worker is told to mix a solution of bleach and water in a ratio of 1 : 10. Which of the following demonstrates this ratio?
- 10 liters of bleach, 10 liters of water
- 1 gallon of bleach, 1 gallon of water
- 10 liters of bleach, 1 liter of water
- 1 cup of bleach, 10 cups of water (correct)
What shows a relationship between like values?
What shows a relationship between like values?
- Ratio (correct)
- Percentage
- Decimal
- Equation
Which of the following ratios is reduced to lowest terms?
Which of the following ratios is reduced to lowest terms?
A hospital has 6 ambulances and 12 ambulance drivers. What is the ratio of ambulances to drivers when reduced to lowest terms?
A hospital has 6 ambulances and 12 ambulance drivers. What is the ratio of ambulances to drivers when reduced to lowest terms?
You want to quickly estimate the total cost of a couple of new office supplies you see in a catalog. Which of the following is the most time-efficient way to do so?
You want to quickly estimate the total cost of a couple of new office supplies you see in a catalog. Which of the following is the most time-efficient way to do so?
Which of the following proportions is parallel?
Which of the following proportions is parallel?
Which of the following is NOT a reason to estimate?
Which of the following is NOT a reason to estimate?
What is the rule for solving proportions?
What is the rule for solving proportions?
In one day, a doctor saw 6 female patients and 8 male patients. What is the ratio of female to male when reduced to lowest terms?
In one day, a doctor saw 6 female patients and 8 male patients. What is the ratio of female to male when reduced to lowest terms?
In a proportion, what are the two middle terms called?
In a proportion, what are the two middle terms called?
A long-term care facility has 3 registered nurses and 12 nursing assistants. Which of the following is the correct way to express the ratio of registered nurses to nursing assistants?
A long-term care facility has 3 registered nurses and 12 nursing assistants. Which of the following is the correct way to express the ratio of registered nurses to nursing assistants?
What is a mathematical average?
What is a mathematical average?
A speech therapist saw 8 patients on Monday, 14 on Tuesday, 12 on Wednesday, 7 on Thursday, and 4 on Friday. What is the average number of patients the therapist saw each day this week?
A speech therapist saw 8 patients on Monday, 14 on Tuesday, 12 on Wednesday, 7 on Thursday, and 4 on Friday. What is the average number of patients the therapist saw each day this week?
In a proportion, what are the two outer terms called?
In a proportion, what are the two outer terms called?
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Study Notes
Ratios and Proportions
- A proportion is an equation that indicates equality between two ratios.
- Key example of a proportion: 100 mg : 2 tablets :: 500 mg : X tablets.
Mixing Solutions
- Mixing bleach and water in a ratio of 1:10 can be exemplified by using 1 cup of bleach and 10 cups of water.
Understanding Ratios
- Ratios show relationships between similar values.
- The ratio of 6 ambulances to 12 ambulance drivers simplifies to 1:2.
Estimation Techniques
- Estimating costs can be efficient when rounding prices to the nearest dollar and adding them without a calculator.
- Not an estimation reason: Deciding exactly how many of something you need.
Proportionality Rules
- The rule for solving proportions states that the product of the means equals the product of the extremes.
- In a fraction like a/b = c/d, a and d are extremes, while b and c are means.
Mathematical Averages
- A mathematical average represents a set of numbers, providing a summary measure.
- An example calculated average of a speech therapist's patients over a week yields 9 patients per day.
Ratio Simplification
- The ratio of 6 female patients to 8 male patients reduces to 3:4.
- The ratio of 3 registered nurses to 12 nursing assistants can be expressed as 1/4.
Important Definitions
- Means refer to the two middle terms in a proportion.
- Extremes refer to the two outer terms in a proportion.
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