Discussion
x varies inversely as y. When x = 3.5, then y = 2.4. What is the value of y when x = 5.6 ?
Answer: B
The value of y is 1.5.
If x varies inversely as y, their product is constant:
\[ \begin{aligned} xy &= 3.5 \times 2.4 = 8.4 \\ y &= \frac{8.4}{5.6} = 1.5 \end{aligned} \]
As x increases, y must decrease, which rules out 2.8. 1.4 and 2.1 would come from treating the variation as direct or from arithmetic slips.
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