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An inverse variation includes the points (6,4) and(3,m) find m

User Coyo
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Final answer:

To find the value of 'm' in an inverse variation for the given points (6,4) and (3,m), we use the constant product property to solve for m, which results in m = 8.

Step-by-step explanation:

The question asks to find the value of m in an inverse variation that includes the points (6,4) and (3,m). In an inverse variation, the product of the x and y coordinates for each point on the graph remains constant. Therefore, we can find the value of m by setting up the equation 6 × 4 = 3 × m and solving for m.

To solve for m, we follow these steps:

  1. Multiply 6 and 4 to get 24 (the constant of variation).
  2. Divide 24 by 3 to find the value of m.
  3. So, m = 24 / 3 = 8.

The value of m is 8, meaning the point (3, m) is actually (3, 8).

User Matthew Merryfull
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