Situations of Direct Variation
We will learn ‘what direct variation is’ and how to solve different types of problems on some situations of direct variation.
If two quantities are related in such a way that the increase in one quantity results in a corresponding increase in the other and vice versa, then such a variation is called a direct variation.
If the two quantities are in direct variation then we also say that they are proportional to each other.
Suppose, if the two quantities ‘x’ and ‘y’ are in direct variation, then the ratio of any two values of x is equal to the ratio of the corresponding values of y.
i.e., x1x2=y1y2
or, x1y1=x2y2
Some situations of direct variation:
● More articles, more money required to purchase
Less articles, less money required to purchase.
● More men at work, more work is done..
Less men at work, less work is done.
● More money borrowed, more interest is to be paid.
Less money borrowed, less interest to be paid.
● More speed, more distance covered in fixed time.
Less speed, less distance covered in fixed time.
● More working hours, more work will be done.
Less working hours, less work will be done.
Problems on different
situations of direct variation:
1. If 12 flowerpots cost $156, what do 28 flowerpots cost?
Solution:
This is the situation of direct variation as
More flowerpots, result in more cost.
Cost of 12 flowerpots = $ 156
Cost of 1 flowerpot = $ (156/12)
Cost of 28 flowerpots = $ (156/12 × 28) = $ 364
2. A motor bike travels 280 km in 40 liters of petrol. How much distance will it cover in 9 liters of petrol?
Solution:
This is the situation of direct variation.
Less quantity of petrol, less distance covered.
In 40 liters of petrol, distance covered = 280 km
In 1 liter of petrol, distance covered = 280/40 km
In 9 liters of petrol, distance covered = 280/40 × 9 km = 63 km
Situations of Direct Variation
Situations of Inverse Variation
Direct Variations Using Unitary Method
Direct Variations Using Method of Proportion
Inverse Variation Using Unitary Method
Inverse Variation Using Method of Proportion
Problems on Unitary Method using Direct Variation
Problems on Unitary Method Using Inverse Variation
Mixed Problems Using Unitary Method
7th Grade Math Problems
From Situations of Direct Variation to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
5th Grade Factors and Multiples | Definitions | Solved Examples | Math
Mar 23, 25 02:39 PM
Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is… -
Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying
Mar 23, 25 12:43 PM
Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers. -
Worksheet on 12 Times Table | Printable Multiplication Table | Video
Mar 23, 25 10:28 AM
Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Vertical Subtraction | Examples | Word Problems| Video |Column Method
Mar 22, 25 05:20 PM
Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically? -
Worksheet on 11 Times Table | Printable Multiplication Table | Video
Mar 22, 25 05:08 PM
Worksheet on 11 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.
Worksheet on Direct Variation using Unitary Method
Worksheet on Direct variation using Method of Proportion
Worksheet on Word Problems on Unitary Method
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.