If xy = 10, then x and y vary ______ with each other
Solution:
When x and y are in inverse proportion with each other we write:
x ∝ 1/y,
x = k/y
xy = k
Hence,
If xy = 10
It can be stated that variables x and y are inversely proportional to each other.
✦ Try This: If the relationship between variables x and y is represented by the following table below, identify the relationship between x and y.
|
x |
18 |
9 |
6 |
12 |
36 |
|
y |
2 |
4 |
6 |
3 |
1 |
The relation between x and y variables can be ascertained as:
x × y = 18 × 2 = 9 × 4 = 6 × 6 = 12 × 3 = 36 × 1= 36 = k = constant
The relationship between variables can be summarised as:
xy = 36
Hence the variables x and y are inversely proportional to each other.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13
NCERT Exemplar Class 8 Maths Chapter 10 Problem 18
If xy = 10, then x and y vary ______ with each other
Summary:
If xy = 10, then x and y vary inversely with each other
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