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., $\frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}}$

or, $\frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}$

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

Problems Using Unitary Method

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

Recent Articles

• 

1. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

   Jul 28, 25 01:52 PM

   
   In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

   Read More

2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

   Jul 25, 25 03:15 AM

   
   We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

   Read More

3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

   Jul 24, 25 03:46 PM

   
   Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

   Read More

4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

   Jul 23, 25 11:37 AM

   
   A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

   Read More

5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

   Jul 20, 25 10:22 AM

   
   Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

   Read More

Worksheet on Direct Variation using Unitary Method

Worksheet on Direct variation using Method of Proportion

Worksheet on Word Problems on Unitary Method

Worksheet on Inverse Variation Using Unitary Method

Worksheet on Inverse Variation Using Method of Proportion