Question

The table below shows the proportional relationship between the weight of cat food, in ounces, and the number of bags of cat food:

Number of Bags
of Cat Food Number of Ounces
of Cat Food
2
28
3
42
4
56


What is the constant of proportionality?
9
14
28
30

Answer 1

If you divide the you'll get your answer. For example 28/2=14. They all equal 14 so your answer is 14!

Answer 2

14

Explanation:

Number of Bags of Cat Food Number of Ounces of Cat Food

2 28

3 42

4 56

Let x denotes the number of the bags of cat food .

Let y denotes the number of ounces of cat food .

Now we are given that the table shows the proportional relationship between the weight of cat food, in ounces, and the number of bags of cat food

`\Rightarrow y \propto x`

`\Rightarrow y = kx`

Where k is the constant of proportionality

Using table substitute y= 28 and x =2

`\Rightarrow 28= k(2)`

`\Rightarrow (28)/(2)= k`

`\Rightarrow 14= k`

Thus ,the constant of proportionality is 14.

So, Option B is true.