Question

Every Halloween, trick-or-treaters love going to Erica's 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 Erica gives to that group, y.
x (kids) y (caramel chews)
2 6
4 12
5 15
6 18
Write an equation for the relationship between x and y.
y=

Answer 1

Answer:

$y=3x$

Step-by-step explanation:

Let

x ----> the number of kids in a group

y ----> the total number of caramel chews Erica gives to that group

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Find the value of the constant of proportionality k

take a ordered pair from the data in the table and determine the value of k

For x=2, y=6 ----> $k=\frac{y}{x}$ ----> $k=\frac{6}{2}=3\ caramels/kid$

therefore

$y=3x$