Question

In this set of pairs of (x,y) numbers, y is directly proportional to x

Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?

Answer 1

(6, 9) (9, 13.5) (10, 15) and k = 1.5

Explanation:

We can plug the given points into the equation y = kx

3 = k(2)

1.5 = k (constant of proportionality)

Then, we can use this to complete the other pints.

y = 1.5(6)

y=9, so (6, 9)

13.5 = 1.5(x)

9 = x, so (9, 13.5)

If we follow the pattern, the last point should be (10, 15)