Question

Which table shows a proportional relationship between weight and price?

Answer 1

Explanation:

Answer 2

second table (see the attached figure)

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

First table

Let

x ----> the weight in lb

y ----> the price in dollars

For x=1.5, y=3.50

Find the value of the constant of proportionality k

`k=y/x` ---->
`k=3.5\1.5=2.33`

For x=2, y=7

`k=y/x` ---->
`k=7/2=3.5`

The values of k are different

therefore

This table not represent a proportional relationship between weight and price

Second table

Let

x ----> the weight in g

y ----> the price in dollars

For x=1.5, y=0.90

Find the value of the constant of proportionality k

`k=y/x` ---->
`k=0.90\1.5=0.6`

For x=8, y=4.80

`k=y/x` ---->
`k=4.8/8=0.6`

The values of k are equal

therefore

This table represent a proportional relationship between weight and price

Third table

Let

x ----> the weight in kg

y ----> the price in dollars

For x=2, y=0.75

Find the value of the constant of proportionality k

`k=y/x` ---->
`k=0.75/2=0.375`

For x=5, y=3.75

`k=y/x` ---->
`k=3.75/5=0,75`

The values of k are different

therefore

This table not represent a proportional relationship between weight and price

Fourth table

Let

x ----> the weight in oz

y ----> the price in dollars

For x=2 oz, y=4

Find the value of the constant of proportionality k

`k=y/x` ---->
`k=4/2=2`

For x=4 lb, y=8

convert to oz

1 lb=16 oz

4 lb=64 oz

`k=y/x` ---->
`k=8/64=0,125`

The values of k are different

therefore

This table not represent a proportional relationship between weight and price