Question

every halloween, trick - or - treaters love going to isaacs house to see his spooky decorations and get some of his delicious caramel chews.
there is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews isaac gives to that group, y.
what is the constant of proportionality? write your answer as a whole number or decimal.
caramel chews per kid

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \(y = kx\), the constant of proportionality \(k=\frac{y}{x}\).

Step2: Calculate \(k\) using the given values

Using the first pair \(x = 3,y = 6\), \(k=\frac{6}{3}\).
Using the second pair \(x = 6,y = 12\), \(k=\frac{12}{6}\).
Using the third pair \(x = 9,y = 18\), \(k=\frac{18}{9}\).
Using the fourth pair \(x = 10,y = 20\), \(k=\frac{20}{10}\).
In all cases, \(k = 2\).

Answer:

\(2\)