Rates. Applications of Ratios and Rates in Practice

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4.2Rates. Applications of Ratios and Rates in Practice

Rates. Applications of Ratios and Rates in Practice Revision Questions

1. . An object moves in a straight line from position X1 = 2 m to another position X2 = 17 m during 3 seconds. What is the rate of position change?

  1. 19/3 m/s
  2. 17/3 m/s
  3. 5 m/s
  4. 3 m/s

Correct Answer: C

2. . A heart rate monitor gives the value 78. This means the heart of the patient beats.

  1. 78 times in total during the measurement process
  2. 78 times per minute
  3. 78 times per second
  4. Once in every 78 seconds

Correct Answer: B

3. . The price of an item dropped from $378 to $333 in three years. What was the annual rate of price drop?

  1. $15/year
  2. $111/year
  3. $126/year
  4. $45/year

Correct Answer: A

4. . The annual growth rate of a plant is 0.6 m/year. What is the actual height of the plant if its weight 4 years ago was 4.1 m?

  1. 4.7 m
  2. 1.5 m
  3. 6.7 m
  4. 6.5 m

Correct Answer: D

5. . What is the actual capital of a customer deposited in a bank if he will have $52,000 in total after two years? The annual interest rates of the bank are 2%.

  1. $48,000
  2. $50,000
  3. $51,000
  4. $54,000

Correct Answer: B

6. . A factory has 125 workers and they can produce 500 pairs of shoes in a day. What is the associated rate of shows/worker daily rate?

  1. 0.25
  2. 4
  3. 0.2
  4. 5

Correct Answer: A

7. . One of the quantities (the smallest) forming a golden ratio is 20. What is the value of the other (the biggest) quantity rounded to the nearest hundredth?

  1. 32
  2. 32.4
  3. 12.5
  4. 20

Correct Answer: B

8. . What is the rate of position change in the graph below?

Math Tutorials: Rates. Applications of Ratios and Rates in Practice Example
  1. 220 m/s
  2. 16 m/s
  3. 11 m/s
  4. 5 m/s

Correct Answer: C

9. . A painting is 55 cm long and Y cm wide. Its dimension form a golden ratio with each other. What is the width of the painting? (Width is shorter)

  1. 86 cm
  2. 64 cm
  3. 50 cm
  4. 34 cm

Correct Answer: D

10. . 24 L of water flow in a minute through an open tap. What is the flow rate in litres per second?

  1. 40 L/s
  2. 4 L/s
  3. 2.5 L/s
  4. 0.4 L/s

Correct Answer: D

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