Question

A recent study claimed that in any given month, for every 5 text messages a boy sent or received, a girl sent or received 7 text messages. Is the relationship between the number of text messages set or received by boys proportional to the number of texts sent or received by girls.

Is it proportional?

Answer 1

I believe so! The number of texts sent or received by boys is proportional to the number of texts sent or received by girls! Have a nice day!

Answer 2

Yes, it is a proportional relation.

Explanation:

Given,

5 text messages a boy sent or received = 7 text messages a girl sent or received,

⇒ 1 text message of a boy =
`(7)/(5)` text messages of a girl,

So, x text messages of a boy =
`(7x)/(5)` text messages of a girl,

Let y represents the text messages of a girl for the x text messages of a boy,

`\implies y = (7)/(5)x`

Which is a line,

∵ At (0,0),

`0=(7)/(5)(0)` ( True ),

Thus, line
`y = (7)/(5)x` passes through the origin,

Hence,

`y = (7)/(5)x` shows a proportional relation.