Question

A 2-cup serving of chicken noodle soup has 1.5 ounces of noodles.Use the description of the proportional relationship to complete the table.
Enter the correct answers in the boxes.

Cup of soup, x Ounces of noodles, y
2 1.5
3 ?
? 3

Answer 1

Using the proportional relationship between X and Y ; the completed table is :

• X ____ Y
• 2 ____ 1.5
• 3 ____ 2.25
• 3 ____ 4

Let :

x = Serving of chicken

y = ounces of noodles

The proportional relationship :

x = ky ; k = constant of proportionality

x = 2 ; y = 1.5

2 = 1.5k

k = (2 ÷ 1.5)

k = 1.333

The expression for the relationship is :

x = 1.333y

When x = 3 ; y =?

3 = 1.333y

y = 3/1.3333

y = 2.25

When y = 3

x = 1.333(3)

x = 4

Therefore, the complete table is :

X ____ Y

2 ____ 1.5

3 ____ 2.25

3 ____ 4

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