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

Answer:

14

Step-by-step 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

$\Rightarrow 28= k(2)$

$\Rightarrow \frac{28}{2}= k$

$\Rightarrow 14= k$

Thus ,the constant of proportionality is 14.

So, Option B is true.