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Ket [755]
2 years ago
15

The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.

Mathematics
1 answer:
neonofarm [45]2 years ago
5 0

9514 1404 393

Answer:

  a) k = 2/5

  b) y = 2/5x

  c) y = 2 3/5

Step-by-step explanation:

<h3>a)</h3>

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

__

<h3>b)</h3>

As above, the equation is ...

  y = kx

  y = 2/5x

__

<h3>c)</h3>

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5

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Theresa's cake had 6 pieces after she cut it. (2 times the size of Joe's pieces)
Joe's cake had 12 pieces after he cut it. (1/2 the size of Theresa's pieces)

We know that 8/12ths of ONE cake were eaten and that Joe ate 2 of his pieces.
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