Question

The ordered pairs (12, 32), (x, 40), (18, 48), (21, y) represent a proportional relationship. Find the values of x and y. Select the two correct answers.

x = 14

x = 15

x = 17

y = 62

y = 56

y = 78

Answer 1

Concept Introduction:-

It may be in the form of a word, a symbol, or a figure that reflects the arithmetic value of a quantity.

Given Information:-

We have been given that the ordered pairs $(12, 32)$, $(x, 40)$, $(18, 48)$, $(21, y)$represent a proportional relationship.

To Find:-

We have to find that the values of x and y.

Solution:-

According to the problem

$\frac{12}{32}=\frac{3}{8}\\\frac{18}{48}=\frac{3}{8}\\\frac{x}{40}=\frac{3}{8}\\x=40\times \frac{3}{8}\\=15\\\frac{21}{y}=\frac{3}{8}\\y=21\times \frac{8}{3}\\\\=56$

Final Answer:-

The value of x and y are $15$ and $56$ respectively.

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