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:
\(y=2.5x\).
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 \(y=2.5x\).