Question

six cells phones weigh 46.2 ounces. fourteen cell phones weigh 107.8 ounces. does this represent a proportional relationship? explain. if so, state the constant of proportionality.

Answer 1

They have a proportional relationship, with a constant of proportionality of 7.7

Explanation:

A proportional relationship refers to the equivalence between two reasons, or two fractions.

So, in this case, we have the two reasons.

First reason:

`(46.2 \ ounces )/(6 \ cellphones)`

Second reason:

`(107.8 \ ounces)/(14 \ cellphones)`

Now, to find if these reasons are proportional we just have to equalize them and find if both fractions have the same result:

`(46.2 \ ounces )/(6 \ cellphones)=(107.8 \ ounces)/(14 \ cellphones)\\7.7=7.7`

As you can see, both fractions have the same result, this means that those reasons have a proportional relationship, and the constant of proportionality is 7.7.