# 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

x |
18 |
45 |
90 |
180 |
225 |

y |
2 |
5 |
10 |
20 |
25 |

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

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