Given:
16 emails to 6 text messages- 10 emails to 4 text messages
To find:
Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.
Solution:
Check the ratio of emails to text. If the ratios are equal then the relation is proportional.
16 emails to 6 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]
[tex]\dfrac{Emails}{Text}=8:3[/tex]
10 emails to 4 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]
[tex]\dfrac{Emails}{Text}=5:2[/tex]
Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.
