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Questions and Answers
What is a rate?
What is a rate?
- A ratio where both terms have the same units
- A fraction that represents the total change in quantity
- A special ratio where the two terms have different units (correct)
- A measure of speed in kilometers per hour
How do you increase a quantity in the ratio 4:3?
How do you increase a quantity in the ratio 4:3?
- Divide the quantity by 3
- Multiply the quantity by 3/4
- Multiply the quantity by 4/3 (correct)
- Add 4 to the quantity
What is the average rate of change?
What is the average rate of change?
- Rate of decrease in a circuit
- Difference between two quantities divided by their ratio
- Total change divided by time taken (correct)
- The same as a simple ratio
Which of the following represents the correct calculation to decrease 35 in the ratio 3:7?
Which of the following represents the correct calculation to decrease 35 in the ratio 3:7?
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If a lorry travels at an average speed of 100 km per hour, what does this represent?
If a lorry travels at an average speed of 100 km per hour, what does this represent?
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Study Notes
Rate
- Rate is a ratio with different unit types.
- Example is PKR 85 for 12 ounces of corn.
Average Rate
- Average rate is the change in one quantity relative to another.
- Example is a lorry's speed of 100 km per hour.
- Calculated as change in one object divided by change in another.
Increasing Ratios
- To increase a quantity in ratio a:b where b is greater than a, multiply the quantity by a/b.
- Example: Increase sugar quantity in the ratio 4:3, multiply quantity by 4/3.
Decreasing Ratios
- To decrease a quantity in ratio a:b where b is less than a, multiply quantity by a/b.
- Example: Decrease flour for 4 people to 3 people, use ratio 3:4, multiply flour amount by 3/4.
Worked Example 1 (a)
- Increase 40 in the ratio 4:40, which means a new quantity to old quantity ratio of 5:2
- This means solving the equation x/40 = 5/2.
- Solving for x, we get a new quantity of 100, so new quantity is 100.
Worked Example 1 (b)
- Decrease 35 in ratio 3:7.
- This means a new quantity to old quantity ratio of 3:7.
- Set up the equation as new quantity/35 = 3/7.
- Solving for new quantity, we get 15.
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Description
This quiz covers concepts related to rates and ratios, including average rates, increasing and decreasing ratios, and practical examples. Participants will solve problems involving ratios to better understand their application in different scenarios.
