Every Halloween, trick-or-treaters love going to Gabe's house to see his spooky decorations and get some of his delicious caramel chews. Gabe gives a group of 3 kids a total of 6 caramel chews. He gives a group of 5 kids 10 caramel chews. In this relationship, x represents the number of kids in a group, and y represents the total number of caramel chews Gabe gives to that group.

y = 2x

Step-by-step explanation:

Since we are told what to find, we can find the equation of the line that models the statement.

Using the equation of a line

y = MX+c.

m is the slope

c is the intercept

x represents the number of kids in a group (slope)

y represents the total number of caramel chews Gabe gives to that group.

If Gabe gives a group of 3 kids a total of 6 caramel chews and he gives a group of 5 kids 10 caramel chews, we can represent this as coordinate points;

(3,6) and (5,10)

Get the slope

M = 10-6/5-3

M = 4/2

M = 2

Get the intercept by substituting m= 2 any of the points (let's use (3,6)) into the expression y = MX+c to get the value of c;

y = MX+c

6. = 2(3)+c

c = 6-6

c = 0

Substitute m = 2 and c = 0 to get the required equation

y = MX+c

y = 2x+0

Hence the equation that models the statement is y = 2x

12/11c

or

12

c

11