If x = 5y, then x and y vary ______ with each other

Solution:

x = 5y

x/y = 5 — (1)

The above equation (1) suggests that the relation between the variables is one of direct proportion.

✦ Try This: With the help of the data shown in the table below describe the relationship between x and y variables mathematically

From the table we can establish the relationship between x and y as shown:

x/y = 18/2 = 45/5 = 90/10 = 180/9 = 225/25 = 9 = Constant

Therefore we can write

x/y = 9

x = 9y

Hence the variables x and y are in direct proportion and proportionality constant k = 9

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 17

If x = 5y, then x and y vary ______ with each other

Summary:

If x = 5y, then x and y vary in direct proportion with each other

☛ Related Questions:

• If xy = 10, then x and y vary ______ with each other
• When two quantities x and y are in _______ proportion or vary ______ they are written as x ∝ y
• When two quantities x and y are in ______ proportion or vary ______ they are written as x ∝ 1/y