Direct Proportion

IMPORTANT

Direct Proportion: Overview

This topic covers concepts, such as, Constant of Proportion & Construction of Graphs Representing Direct Proportion etc.

Important Questions on Direct Proportion

HARD
IMPORTANT

What is the constant of proportionality for the following graph?

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HARD
IMPORTANT

Find the constant of proportionality, if y=30 and x=6 and yx.

HARD
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Find the constant of proportionality, if y=24 and x=5 and yx.

HARD
IMPORTANT

What is the constant of proportionality?

x y
5 15
6 18
7 21
8 24

HARD
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Find the constant of proportionality, if y=8 and x=3 and yx.

EASY
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Let us assume that y varies directly with x, and y=20 when x=4. Use the constant of proportionality and find the value of y when x=100.

MEDIUM
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4 workers take 2 hours to finish the desired work. If 2 more workers are hired, in how much time will they complete the work?

EASY
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Suppose x and y are in an inverse proportion such that, when x=12, then y=8. Find the value of y when x=12.

EASY
IMPORTANT

Let us assume that y varies directly with x, and y=30 when x=6. Use the constant of proportionality and find the value of y when x=100.

MEDIUM
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4 workers take 3 hours to finish the desired work. If 2 more workers are hired, in how much time will they complete the work?

EASY
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What is directly proportional?

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Suppose x and y are in an inverse proportion such that, when x=15, then y=8. Find the value of y when x=20.

EASY
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Is the graph proportional or non proportional?

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EASY
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Is the graph proportional or non proportional?

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MEDIUM
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What is the constant of proportionality?

x y
5 15
6 18
7 21
8 24

 

MEDIUM
IMPORTANT

What is the constant of proportionality for the following graph?

Question Image

EASY
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What makes a graph proportional?

EASY
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A proportional relationship is represented by the equation y=4x. Use the equation to fill in the table.  

x 2 4 6 8
y ? ? ? ?

 

EASY
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The relationship between x and y are proportional. When x is 10, y is 100. The equation for this relationship is

EASY
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 The equation y = 5x + 2 is not a proportional relationship because