Which set of values could be from a direct proportion?
A)
x y
1/2 6
1 12
2 24
3 36
B)
x y
0 0
1 1
2 4
3 6
C)
x y
0 2
2 4
4 6
6 8
Which set of values could be from a direct proportion?
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The correct answer is A).
In a direct proportion, the ratio ( frac{y}{x} ) remains constant. Let’s check the ratios for each set:
A)
– ( frac{6}{frac{1}{2}} = 12 )
– ( frac{12}{1} = 12 )
– ( frac{24}{2} = 12 )
– ( frac{36}{3} = 12 )
All ratios equal 12, which means this is a direct proportion.
B)
– ( frac{1}{0} ) (undefined, so this is not valid).
– The other ratios do not maintain a constant ratio.
C)
– ( frac{2}{0} ) (undefined).
– The ratios change and do not remain constant either.
Thus, only set A shows a direct proportion. Keep practicing to enhance your understanding of direct proportions!