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

Question

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wifilethbridge wifilethbridge · Answer 1 · 2020-10-20T09:49:10+02:00

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich [tex]\frac{1}{4}[/tex] [tex]\frac{3}{4}[/tex]

Chicken salad sandwich [tex]\frac{3}{4}[/tex] [tex]1\frac{3}{4}[/tex]

Egg salad sandwich [tex]\frac{2}{3}[/tex] [tex]1\frac{1}{3}[/tex]

For cheese sandwich proportion

[tex]\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16[/tex]

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

[tex]\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}[/tex]

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

[tex]\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9[/tex]

So, egg salad sandwich is proportional to its length