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Complete the table for \( y = \frac{6}{x} \) \( x \) -6 -3 -2 -1 1 2 3 6 y -1 -2 -6 3 2 1 - OCR - GCSE Maths - Question 9 - 2021 - Paper 1

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Question 9

Complete-the-table-for-\(-y-=-\frac{6}{x}-\)---\(-x-\)---6---3---2---1--1--2--3--6---y---1---2---6--3--2--1----OCR-GCSE Maths-Question 9-2021-Paper 1.png

Complete the table for \( y = \frac{6}{x} \) \( x \) -6 -3 -2 -1 1 2 3 6 y -1 -2 -6 3 2 1

Worked Solution & Example Answer:Complete the table for \( y = \frac{6}{x} \) \( x \) -6 -3 -2 -1 1 2 3 6 y -1 -2 -6 3 2 1 - OCR - GCSE Maths - Question 9 - 2021 - Paper 1

Step 1

Calculate y for x = -6

96%

114 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = -6 ):

y=6−6=−1y = \frac{6}{-6} = -1

Step 2

Calculate y for x = -3

99%

104 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = -3 ):

y=6−3=−2y = \frac{6}{-3} = -2

Step 3

Calculate y for x = -2

96%

101 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = -2 ):

y=6−2=−3y = \frac{6}{-2} = -3

Step 4

Calculate y for x = -1

98%

120 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = -1 ):

y=6−1=−6y = \frac{6}{-1} = -6

Step 5

Calculate y for x = 1

97%

117 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = 1 ):

y=61=6y = \frac{6}{1} = 6

Step 6

Calculate y for x = 2

97%

121 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = 2 ):

y=62=3y = \frac{6}{2} = 3

Step 7

Calculate y for x = 3

96%

114 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = 3 ):

y=63=2y = \frac{6}{3} = 2

Step 8

Calculate y for x = 6

99%

104 rated

Answer

Using the equation ( y = \frac{6}{x} ), substituting ( x = 6 ):

y=66=1y = \frac{6}{6} = 1

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