If two quantities x and y vary directly with each other, then ______ of their corresponding values remain constant.
Solution:
The table below shows the values of x and y and their ratio x/y.
|
x |
9 |
12 |
15 |
18 |
21 |
|
y |
3 |
4 |
5 |
6 |
7 |
|
x/y |
3 |
3 |
3 |
3 |
3 |
As evident from the above table as x is increasing y is also increasing. They are varying directly with each other. We can write,
x ∝ y
x = ky
x/y = k where k = proportionality constant = ratio of x and y
k = 3 in the given example
✦ Try This: What is the ratio of the values of x and y shown in the table below. Also establish what kind of relationship exists between x and y?
|
x |
12 |
13 |
14 |
15 |
16 |
|
y |
24 |
26 |
28 |
30 |
32 |
Ratio between x and y is
x/y = 12/24 = 13/26 = 14/28 = 15/30 = 16/32 = 1/2
Since k = 1/2 is a constant the relationship between the two variables is direct one.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13
NCERT Exemplar Class 8 Maths Chapter 10 Problem 31
If two quantities x and y vary directly with each other, then ______ of their corresponding values remain constant.
Summary:
If two quantities x and y vary directly with each other, then the ratio of their corresponding values remain constant.
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