Question 8 of 17intermediate🔧 ApplyFill in the Blanks3 marks

Fill in the empty cells if x and y are in inverse proportion.

Correct Answer

The completed table is: x: 16, 12, 3, 36; y: 9, 12, 48, 4.

Exercise: Figure it Out (Section 3) | Q: 2 | (Page Page 11)
For More Understanding

Explanation

The chapter explains that for inverse proportion, x × y = constant. From the first pair: 16×916 \times 9 = 144. This constant applies to all pairs. For x=12: y=144÷12=12. For y=48: x=144÷48=3. For x=36: y=144÷36=4.

Solution Steps

  1. Step 1: Find constant k from first pair: 16×916 \times 9 = 144

  2. Step 2: For x = 12, find y: y = 144 ÷ 12 = 12

  3. Step 3: For y = 48, find x: x = 144 ÷ 48 = 3

  4. Step 4: For x = 36, find y: y = 144 ÷ 36 = 4

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