Question

You prepare 8 scoops of dog food for 4dogs and prepare 12.5 scoops of dog food for 5 dogs is there a propositional relationship between the number of scoops and the number of dogs?

Answer 1

The relationship between the number of scoops and the number of dogs is not proportional

Explanation:

Let

x ----> the number of scoops

y ----> the number of dogs

we know that

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

First situation

You prepare 8 scoops of dog food for 4 dogs

x=8, y=4

Find the constant of proportionality k

`k=(y)/(x)`

substitute the values of x and y

`k=(4)/(8)=0.5`

Second situation

You prepare 12.5 scoops of dog food for 5 dogs

x=12.5, y=5

Find the constant of proportionality k

`k=(y)/(x)`

substitute the values of x and y

`k=(5)/(12.5)=0.4`

Compare the values of k

`0.5\\eq 0.4`

The values of k are not equal

therefore

The relationship between the number of scoops and the number of dogs is not proportional