Question

The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship

Find the value of x and the value of y.

Select the two correct answers.

A y=56

B. x= 14

C. x=7

D. y=39

Ex= 9

F. y = 42

Answer 1

Answer: B. x= 14

D. y=39

Explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39