Question

From the below table, which of the following conclusions can be drawn ?

• A. $x$ and $y$ are directly proportional
• B. $x$ and $y$ are inversely proportional
• C. $x$ and $\frac{1}{y}$ are directly proportional
• D. All of the these

Answer 1

Answer: (B), (C)

The correct options are
B

$x$ and $y$ are inversely proportional

C

$x$ and $\frac{1}{y}$ are directly proportional

From the table, it can be noted that as $x$ increases, $y$ decreases, hence $x$ and $y$ are inversely proportional (and not directly proportional). Also, as $x$ increases, $\frac{1}{y}$ also increases, and hence $x$ and $\frac{1}{y}$ are directly proportional.