Given that y is directly proportional to x, copy and complete the table.
5
30
48
57
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Given:
Given that y is directly proportional to x,
x 5 48 57
y 30 - -
To find:
Complete the table.
Solution:
As given, y is directly proportional to x, we have,
y ∝ x
⇒ y = k x
where, k is a constant
From given table, we have,
x 5 48 57
y 30 - -
Since we have,
y = k x
30 = k × 5
⇒ k = 30/5
∴ k = 6
Now consider, when x = 48
y = k x
y = 6 × 48
∴ y = 288
Now consider, when x = 57
y = k x
y = 6 × 57
∴ y = 342
Therefore, the completed data is,
x 5 48 57
y 30 288 342
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