If y varies directly as x , and y is 48 when x is 6 , which expression can be used to find the value of y when x is 2 ?
Answer
A
y is equal to 48 sixths times 2
B
y is equal to the fraction with numerator 2 and denominator 48 times 6
C
y is equal to 6 over 48 times 2
D
y is equal to the fraction with numerator 48 times 6 and denominator 2
Explanation
For direct variation, the ratio y/x stays constant. Using y = 48 when x = 6 gives the constant of variation as 48/6. Substitute x = 2 to get y = (48/6) × 2, which is choice A: “48 sixths times 2.”
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