Question

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

Answer 1

It is doubled.

Explanation:

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

It is doubled.

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Answer 2

y is also doubled.

Explanation:

Direct proportionality between
`x` and
`y` means that

`y \propto x`

or

`y=cx`,

which indicates a linear relationship between
`x` and
`y` because they are related by a constant.

Therefore, if x is doubled, then the new value of
`y` is
`y_(new)`

`y_(new)=c(2x)`

`y_(new)=2(cx)`

`y_(new)=2y`

The new value of
`y` is 2 times the previous; therefore,
`y` is doubled as
`x` is doubled.