Question

I half dozen cupcakes cost $15. What constant of proportionality relates to the numbers of cupcakes and the total cost? Write an equation that represents its relationship

Answer 1

Answer:

The constant of proportionality is 2.5 dollar per cupcake and then the required equation would be $y=2.5x$.

Step-by-step explanation:

Given:

Let the number of cupcakes be represent by $'x'$

Also let the total cost be represented by $'y'.$

We know that two proportional quantities are in for;

$y=kx$

where, k⇒ represents constant of proportionality.

Now we know that;

1 dozen = 12

Half dozen = 6

Now Given:

half dozen cupcakes cost $15.

So Let us substitute $x=6$ and  $y=15$ in above equation we get;

$15 =k \times 6$

Dividing both side by 6 we get;

$\frac{15}{6}=\frac{k6}{6}\\\\k= 2.5 \ \ /cupcake$

Hence the constant of proportionality is 2.5 dollar per cupcake and then the required equation would be $y=2.5x$.