Question

Weights of different sandwiches in two lengths are shown in the table.

Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
3
Cheese sandwich
e
Chicken salad sandwich
3
Ib
4
1
Egg salad sandwich
Ib
Vegetable sandwich
Which sandwich's weight is proportional to its length?
O cheese sandwich
O
chicken salad sandwich
o egg salad sandwich
o vegetable sandwich

Answer 1

Egg salad sandwich is proportional to its length

Explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich
`(1)/(4)`
`(3)/(4)`

Chicken salad sandwich
`(3)/(4)`
`1(3)/(4)`

Egg salad sandwich
`(2)/(3)`
`1(1)/(3)`

For cheese sandwich proportion

`(6)/((1)/(4))=(12)/((3)/(4))\\24 \\eq 16`

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

`(6)/((3)/(4))=(12)/((7)/(4))\\8 \\eq (48)/(7)`

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

`(6)/((2)/(3))=(12)/((4)/(3))\\9=9`

So, egg salad sandwich is proportional to its length