Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Answer 1

we know that

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

Verify

A) For the point$(10,12)$

Find the value of k

$k=y/x$

substitute

$k=12/10=1.2$

B) For the point$(15,18)$

Find the value of k

$k=y/x$

substitute

$k=18/15=1.2$

C) For the point$(20,24)$

Find the value of k

$k=y/x$

substitute

$k=24/20=1.2$

so

The value of k is equal to $1.2$

The equation of the direct variation is equal to

$y=1.2x$

therefore

the answer is the option a

yes; $y=1.2x$

Answer 2

The correct answer is A.