Question

A half dozen cupcakes cost $15. What constant of proportionality relates the number of cupcakes and total cost? Write an equation that represents this relationship.

Answer 1

The constant of proportionality is 2.50

Answer 2

`y=2.5x`.

Explanation:

Let x represent the number of cupcakes and y represent total cost.

We know that two proportional quantities are in form
`y=kx`, where, k represents constant of proportionality.

1 dozen = 12

Half dozen = 6

Let us substitute
`y=15` and
`x=6` in above equation.

`15=k*6`

`(15)/(6)=(k*6)/(6)`

`(5)/(2)=k`

`2.5=k`

Therefore, the constant of proportionality is 2.5 and our required equation would be
`y=2.5x`.