Question

This graph shows a proportional relationship.

What is the constant of proportionality?

A graph with a line running through coordinates left parenthesis 0 commas 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.

Enter your answer as a ratio in simplified form by filling in the boxes.

Answer 1

k=
`(5)/(4)`

Explanation:

Answer 2

3/2

Explanation:

A proportional relationship is described by ...

y = kx

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

k = y/x

For the given non-zero point (1/4, 3/8), the value of k is found to be ...

k = (3/8)/(1/4) = (3/8)/(2/8)

k = 3/2

The constant of proportionality is 3/2.