Question

Which table shows a proportional relationship between weight and price?

Answer 1

Answer:

Table $1$ and Table $3$

see the attached figure

Step-by-step 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 $y=kx$

Let

x-----> the weight

y-----> the price

so

$k=y/x$ ------> the constant of proportionality

Verify each case

Table 1

For $x=10\ mg ,y=\ 2.50$ ------->  $k=2.50/10=0.25$

For $x=20\ mg ,y=\ 5.00$ ------->  $k=5.00/20=0.25$

The value of k is the same

therefore

The table 1 represent a proportional relationship

Table 2

For $x=2.5\ g ,y=\ 5.00$ ------->  $k=5.00/2.5=2$

For $x=5\ g ,y=\ 7.50$ ------->  $k=7.50/5=1.5$

The value of k is not the same

therefore

The table 2 not represent a proportional relationship

Table 3

For $x=1\ Kg ,y=\ 0.25$ ------->  $k=0.25/1=0.25$

For $x=8\ g ,y=\ 2.00$ ------->  $k=2.00/8=0.25$

The value of k is  the same

therefore

The table 3 represent a proportional relationship

Table 4

For $x=5\ lb ,y=\ 15$ ------->  $k=15/5=3$

For $x=10\ lb ,y=\ 20.00$ ------->  $k=20/10=2$

The value of k is  not the same

therefore

The table 4 not represent a proportional relationship

Answer 2

I believe it will be C- 1kg/0.25 because 2.00÷0.25 will give you 8. It should be the same for 8÷1 which will give you 8 also. That means it is porportional. I hope that helps you.