Direct and Inverse Variation
Aim: To understand the concept of inverse variation.
Method:
Take a set of sticker dot bindis. Arrange the bindis in six different ways as given
belwo and tabulate:
1) 15 rows and 2 columns
11 10 rows and 3 columns
111) 6 rows and 5 columns
iv) 5 rows and 6 columns
3 rows and 10 columns
vi) 2 rows and 15 columns
Observation:
As the number of rows decreases, the number of columns increases, with the total
number of bindis being constant.
Number of rows 15 10 6 5 3 2.
Number of columns 2 3 5 6 10 15
Total bindis
30 30 30 30 30 30
Conclusion:
An increase or decrease in one quantity result in a corresponding decrease or
increase in the second quantity, such that their product remains constant. The
different arrangements represent inverse variation or inverse proportion.
Answers
Answer:
Direct and Inverse Variation
Aim: To understand the concept of inverse variation.
Method:
Take a set of sticker dot bindis. Arrange the bindis in six different ways as given
belwo and tabulate:
1) 15 rows and 2 columns
11 10 rows and 3 columns
111) 6 rows and 5 columns
iv) 5 rows and 6 columns
3 rows and 10 columns
vi) 2 rows and 15 columns
Observation:
As the number of rows decreases, the number of columns increases, with the total
number of bindis being constant.
Number of rows 15 10 6 5 3 2.
Number of columns 2 3 5 6 10 15
Total bindis
30 30 30 30 30 30
Conclusion:
An increase or decrease in one quantity result in a corresponding decrease or
increase in the second quantity, such that their product remains constant. The
different arrangements represent inverse variation or inverse proportion.