Question

The table shows a relationship between x and y. What is the constant of proportionality, k, which relates the variable y to the variable x?

Answer 1

F.
`(3)/(4)`

Explanation:

Constant of proportionality, k, =
`(y)/(x)`

The ratio of each given of values on the table will give you the same value, which represents k.

Thus, using the pair, (2, 1.5), k can be calculated as follows:

`k = (y)/(x) = (1.5)/(2)`

Multiply the numerator band denominator by 10 to eliminate the decimal point.

`= (1.5*10)/(2*10) = (15)/(20)`

Simplify

`k = (3)/(4)`