Topic Content:
- Meaning of Direct Proportion
What is Direct Proportion?
Two quantities are said to be in direct proportion if their ratios always remain the same as the quantities increase or decrease. In other words, as one quantity increases, the other increases, and vice-versa, at the same rate.
Worked Example 11.2.1:
If 20 pens cost ₦100, what is the cost of 45 similar pens?
Solution
Let the cost of 45 pens be ₦x
Express each quantity as a ratio:
Number of pens = 20 : 45
cost of pens = ₦100
These ratios are equivalent for direct proportion
20 : 45 = 100 : x
\( \frac{20}{45} = \frac{100}{x} \)cross multiply
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