Proportionality constant for direct variation (video) | Khan Academy (2024)

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  • ryan

    12 years agoPosted 12 years ago. Direct link to ryan's post “help me understand what v...”

    help me understand what varation mean

    (1 vote)

    • DY

      11 years agoPosted 11 years ago. Direct link to DY 's post “*variation* |ˌve(ə)rēˈāSH...”

      Proportionality constant for direct variation (video) | Khan Academy (4)

      variation |ˌve(ə)rēˈāSHən|
      noun
      1 a change or difference in condition, amount, or level, typically with certain limits: regional variations in house prices | the figures showed marked variation from year to year.
      Astronomy: a deviation of a celestial body from its mean orbit or motion.

      MATHEMATICS: a change in the value of a function due to small changes in the values of its argument or arguments.
      • (also magnetic variation) the angular difference between true north and magnetic north at a particular place.

      Biology: the occurrence of an organism in more than one distinct color or form.
      2 a different or distinct form or version of something: hurling is an Irish variation of field hockey.
      Music: a version of a theme, modified in melody, rhythm, harmony, or ornamentation, so as to present it in a new but still recognizable form: there is an eleven-bar theme followed by seven variations and a coda | figurative : variations on the perennial theme of marital discord.
      Ballet: a solo dance as part of a performance.
      DERIVATIVES
      variational |-SHənl|adjective
      ORIGIN late Middle English (denoting variance or conflict): from Old French, or from Latin variatio(n-), from the verb variare (see vary) .

      (14 votes)

  • The Beast

    12 years agoPosted 12 years ago. Direct link to The Beast's post “Why don't you divide 30 d...”

    Why don't you divide 30 divided by 6, so do 45 divided by 9? It is much easier.

    (9 votes)

    • Aditi

      11 years agoPosted 11 years ago. Direct link to Aditi's post “Yup. That's correct but w...”

      Proportionality constant for direct variation (video) | Khan Academy (8)

      Yup. That's correct but when the questions get harder the other method makes it both clearer and easier to understand

      (11 votes)

  • Wadhia Sultana

    6 years agoPosted 6 years ago. Direct link to Wadhia Sultana's post “can we do this math diffe...”

    can we do this math differant way.i think this way is little travel for me.

    (3 votes)

  • Robert

    4 years agoPosted 4 years ago. Direct link to Robert's post “how would I do it if it w...”

    how would I do it if it was NOT an example of direct variation?

    (2 votes)

  • Lyla

    4 years agoPosted 4 years ago. Direct link to Lyla's post “Sorry, I would like to kn...”

    Sorry, I would like to know if there are ways to solve this type of variation questions:

    If x+y ∝z , when y is constant and z+x ∝y , when x is constant, then prove that, x+y+z ∝yz , where x, y, z are variables

    I feel like I'm guessing randomly every time :/

    Thanks a lot :D

    (1 vote)

  • Jonah

    4 years agoPosted 4 years ago. Direct link to Jonah's post “What if we are only given...”

    What if we are only given the y/x value?

    (1 vote)

  • madalena seltsam

    11 years agoPosted 11 years ago. Direct link to madalena seltsam's post “how do find y in direct v...”

    how do find y in direct variation? could you please show me an example.

    (1 vote)

  • dumb boii

    10 years agoPosted 10 years ago. Direct link to dumb boii's post “The example that its giv...”

    The example that its giving in the video it kind of help me but in one part I don't really understand it like I'm kind of confused.

    (1 vote)

  • SongBird

    9 years agoPosted 9 years ago. Direct link to SongBird's post “what do you do when the y...”

    what do you do when the y isnt divisible by the x

    (1 vote)

    • Andrius

      9 years agoPosted 9 years ago. Direct link to Andrius's post “this is a second (the sam...”

      this is a second (the same) question from you. There is never a case when y isnt divisable by the x. If you have such case please share it with us.

      (1 vote)

  • Logan McElwee

    6 years agoPosted 6 years ago. Direct link to Logan McElwee's post “im lost how do you find ...”

    im lost how do you find the constant variation of {(-5,3),(-5,1)(0,0)(10,-2)

    (1 vote)

Proportionality constant for direct variation (video) | Khan Academy (2024)

FAQs

How do you find the constant of proportionality in a direct variation? ›

The equation for the constant of proportionality is k = y/x. This is the same as the equation of the slope of a straight line that passes through the origin, m = y/x. Using the equation for the slope of the line, one can find the value of m, which will be the same as the value of k, or the constant or proportionality.

What is the constant of proportionality 7th grade? ›

Students calculate the rate of change also know as the constant of proportionality (k = y/x) which is the constant ratio between two proportional quantities y/x denoted by the symbol k which may be a positive rational number. The x value is directly proportional to the y value such as in the equation y = kx.

What is the formula to solve for the constant of direct variation? ›

Direct Variation Formula: y = kx

Here k is the constant of proportionality. If x is not equal to zero then the value of the constant of proportionality can be given as k = y/x. Thus, the ratio of these two variables is always a constant number. Another way of expressing the direct variation equation is x = y / k.

What is the formula for proportionality? ›

The formula for a proportional equation is y = kx. The letters y and x are the variables in the equation. The letter k represents the constant of proportionality, which remains the same.

How to find the constant of variation? ›

The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.

What is the symbol for proportionality constant? ›

The symbol used to denote the proportionality is ''. For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is direct variation in math? ›

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. If b is directly proportional to a the equation is of the form b = ka (where k is a constant).

What are two constants of proportionality? ›

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another.

Is the constant of proportionality the same as slope? ›

The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation. A line with a steeper slope has a larger value for k. For example, people earning different hourly wages have different k values and, therefore, different slopes.

What is the formula for direct proportionality? ›

If y is directly proportional to x, then the direct proportion formula or the direct proportion equation is given by y=kx, where k is a constant of proportionality.

Why do we use the constant of proportionality? ›

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant. The proportionality constant's value is determined by the proportion between the two specified quantities.

What is an example of a constant ratio? ›

When we have points with the same constant ratio, it means that when you take the x:y or y:x ratio of each of these points, you will get the same ratio for each point. For example, the points (2, 1), (4, 2), and (6, 3) all have the same x:y constant ratio of 2:1.

How to find the constant in direct proportion? ›

For direct proportion, the constant of proportionality k is the ratio of the two variables such as. k=y \div x. k=y÷x.

Is the constant ratio in a direct variation? ›

Direct variation is a proportional relationship between the x-coordinate (an independent variable) and the y-coordinate (a dependent variable), where the ratio between the x-coordinate and the y-coordinate is constant.

What is the direct proportion of direct variation? ›

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

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