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Grade 8 - Mathematics
2.12 Direct Proportion - I

  • Two variables are in direct proportion to one another if they are always in the same ratio.
  • If two variables x and y are vary in such a way that their ratio x/y is a constant(k). Then x and y are said to vary directly or in direct variation "k" is called the constant of variation.
  • \ If variables x and y are directly then x/y = k or x=ky.
  • This is denoted by xy.
yx, and constant of variation is 6. Find y, when x=3, find x, when y=24.

Since yx, we have y = kx
But k = 6 y = 6x
If x = 3 y = 6*3 = 18
If y = 25 25 = 3x x = 25/3.

If 4 bottles of milk cost $2, how many bottles can you buy for $8?
You can write this in proportion as
4:2 :: x:8
4/2 = x/8
Cross multiplying we get
2x = 32
x = 16 Answer: 16 bottles

Directions: Solve the following problems. Also write atleast 10 examples of your own.
Q 1: y is directly proportional to x, and constant of variation is 15. Find x, when y = 30.
None of these

Q 2: On a map, 1/2 inch = 10 miles. How many miles apart are two towns that are 3 1/4 inches apart on the map?

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!

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