What is Rate of change: Definition and 279 Discussions

In mathematics, a rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable.
One common type of rate is "per unit of time", such as speed, heart rate and flux. Ratios that have a non-time denominator include exchange rates, literacy rates, and electric field (in volts per meter).
In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate (for example a heart rate is expressed "beats per minute"). A rate defined using two numbers of the same units (such as tax rates) or counts (such as literacy rate) will result in a dimensionless quantity, which can be expressed as a percentage (for example, the global literacy rate in 1998 was 80%), fraction, or multiple.
Often rate is a synonym of rhythm or frequency, a count per second (i.e., hertz); e.g., radio frequencies, heart rates, or sample rates.

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  1. A

    When is the rate of change of momentum equals zero ?

    When is the rate of change of momentum equals zero ?
  2. P

    Determine the Rate of Change of Pressure Across a Valve

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  3. N

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  4. N

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  5. N

    Precalculus -- determine the rate of change of the function

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  6. M

    MHB What is the Rate of Change of Resistance in a Parallel Circuit?

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  7. W

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  8. Soumalya

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  9. T

    Fluid Dynamics - Rate of Change of Momentum question

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  10. M

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  11. E

    MHB Determine the Average Rate of Change

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  12. H

    W=F.dx rate of change of x approaches to zero?

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  13. thegreengineer

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  14. BondKing

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  15. M

    MHB Rate of change when filling container

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  16. H

    Adv. Functions: Rate of Change in Rational Functions

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  17. R

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  18. karush

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  19. T

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  20. J

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  21. karush

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  22. B

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  23. J

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  25. L

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  26. G

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  27. L

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  28. MarkFL

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  29. Raerin

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  30. E

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  31. P

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  32. M

    MHB What is the rate of change for this function?

    Hi, I am working on a rate of change problem and appear stumped with my calculations. S(T) = (-0.03T^2 + 1.6T - 13.65)^-1 S'(T) = (-1)((-0.03T^2 + 1.6T - 13.65)^-2 (-0.03 (2T) + 1.6)) S'(T) = - (-0.06T + 1.6) / (-0.03T^2 + 1.6T - 13.65)^2 S'(T) = (0.06T-1.6) / (-0.03T^2+1.6T-13.65)^2 = 0...
  33. karush

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  37. Suwailem

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  38. N

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  39. MarkFL

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  40. T

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  41. N

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  42. N

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  43. P

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  44. S

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  45. S

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  46. A

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  47. W

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  48. N

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  49. T

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  50. G

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