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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.

Respuesta :

The constant of proportionality is 2.50

Answer:

[tex]y=2.5x[/tex].

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 [tex]y=kx[/tex], where, k represents constant of proportionality.

1 dozen = 12

Half dozen = 6

Let us substitute [tex]y=15[/tex] and [tex]x=6[/tex] in above equation.

[tex]15=k*6[/tex]

[tex]\frac{15}{6}=\frac{k*6}{6}[/tex]

[tex]\frac{5}{2}=k[/tex]

[tex]2.5=k[/tex]

Therefore, the constant of proportionality is 2.5 and our required equation would be [tex]y=2.5x[/tex].

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