Question

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

Answer 1

9514 1404 393

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

__

b)

As above, the equation is ...

  y = kx

  y = 2/5x

__

c)

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5