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Question
In which of the following table, x and y vary directly:
| x | 3 | 5 | 8 | 11 |
| y | 4.5 | 7.5 | 12 | 16.5 |
Sum
Solution
`"x"_1/"x"_2=3/4.5=1/1.5`
`"x"_2/"y"_2=5/7.5=1/1.5`
`"x"_3/"y"_3=8/12=1/1.5`
`"x"_4/"y"_4=11/16.5=1/1.5`
`⇒"x"_1/"y"_1="x"_2/"y"_2="x"_3/"y"_3="x"_4/"y"_4`
Yes, x and y vary directly.
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