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

Answer:

$y=2.5x$.

Step-by-step 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.

$15=k*6$

$\frac{15}{6}=\frac{k*6}{6}$

$\frac{5}{2}=k$

$2.5=k$

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