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Question
Complete the following table considering that the cost of apples and their number are in direct variation.
| Number of apples (x) | 1 | 4 | ______ | 12 | ______ |
| Cost of apples (y) | 8 | 32 | 56 | ______ | 160 |
Solution
It is given that the cost of apples (y) and number of apples (x) are in direct variation.
\[\therefore y \propto x \Rightarrow y = kx\]
where k is constant of variation
When x = 1, y = 8.
∴ 8 = k × 1
⇒ k = 8
So, the equation of variation is
y = 8x
When y = 56,
56 = 8x
⇒ x = 7
When x = 12,
y = 8 × 12 = 96
When y = 160,
160 = 8x
⇒ x = 20
The complete is given below.
| Number of apples (x) | 1 | 4 | 7 | 12 | 20 |
| Cost of apples (y) | 8 | 32 | 56 | 96 | 160 |
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