Question

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?

Answer 1

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

Answer 2

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

Hence,

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

From the given data,

`image`

From the above equations, we can see that the constant of proportionality is
`k=3.5`.