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Directly Proportional and Inversely Proportional

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  • (0:01) What is Directly Proportional: In directly proportional relationships, doubling one quantity doubles the other. The formula is typically $y = kx$, where $k$ is the constant unit rate.
  • (1:15) What is Inversely Proportional: In inversely proportional relationships, doubling one quantity halves the other. Inversely proportional relationships keep the product of the two quantities constant. The formula is usually $xy = k$, where $k$ is a constant.

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Direct and Inverse Proportion

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Q: At a supermarket, 3 watermelons cost £12 in total. How much would 7 watermelons cost if each watermelon costs the same?

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Q: A factory task takes 5 workers 6 hours to complete. How many hours will it take if 10 workers are available?

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Q: A construction job requires 8 workers and 15 days to complete. How many days would it take if only 5 workers are available?

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Q: A train covers 360 km in 6 hours. How much time will it take to cover 450 km at the same speed?

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Q: A car consumes 12 litres of fuel to travel 240 km. How far can the car travel with 18 litres of fuel?

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Q: A project requires 16 workers to complete in 12 days. How many more workers would be required to complete the project in 8 days?

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