Question

every halloween, trick - or - treaters love going to jeanettes house to see her spooky decorations and get some of her delicious caramel chews.
there is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews jeanette 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 first pair of values

Using \(x = 3\) and \(y = 6\), \(k=\frac{6}{3}=2\).

Step3: Verify with other pairs

For \(x = 5\) and \(y = 10\), \(\frac{10}{5}=2\). For \(x = 7\) and \(y = 14\), \(\frac{14}{7}=2\). For \(x = 18\) and \(y = 36\), \(\frac{36}{18}=2\).

Answer:

2