At the farmers market, you can buy 3 melons for $10.50, 6 melons for $21, or 9 melons for $ 31.50. what is the constant of proportionality?

Respuesta :

k = y/x $10.50 /3 > $3.50 per melon  $21/6 > $3.50 $31.50/9 > $3.50 per melon
constant 3.50

The total price of the melons is proportional to the number of melons.

Hence,

[tex] P=kn,k>0 [/tex], where [tex] k [/tex] is a constant of proportionality, [tex] n [/tex] number of melons and [tex] p [/tex] is the price.

From the given data,

[tex] 10.5=3k\\
21=6k\\
31.5=9k [/tex]

From the above equations, we can see that the constant of proportionality is [tex] k=3.5 [/tex].