Question

Which table shows y as DIRECTLY PROPORTIONAL to x

Answer 1

Answer:

Table B

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Verify table B

For $x=1, y=1/2$ -----> $k=y/x=(1/2)/1=1/2$

For $x=2, y=1$ -----> $k=y/x=1/2$

For $x=3, y=3/2$ -----> $k=y/x=(3/2)/3=1/2$

For $x=4, y=2$ -----> $k=y/x=2/4=1/2$

The values of k are the same

therefore

The table B shows y as DIRECTLY PROPORTIONAL to x

Verify table D

For $x=1, y=3$ -----> $k=y/x=3/1=3$

For $x=2, y=5$ -----> $k=y/x=5/2=2.5$

For $x=3, y=7$ -----> $k=y/x=7/3$

For $x=4, y=9$ -----> $k=y/x=9/4$

the values of k are different

therefore

The table D not shows y as DIRECTLY PROPORTIONAL to x