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The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.
a. What is the constant of proportionality, or the unit rate (Leave answer as a fraction)?
b. Write an equation to represent this relationship (write rate as a fraction).
c. If point (6 1/2, y) also lies on this same line, what the value value of y, (otherwise, the y coordinate point?(Write point as a mixed fraction).

Respuesta :

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Answer:

  a) k = 2/5

  b) y = 2/5x

  c) y = 2 3/5

Step-by-step explanation:

a)

The proportional relation is described by the equation ...

  y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

  y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

  k = 2/5

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b)

As above, the equation is ...

  y = kx

  y = 2/5x

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c)

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5

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