Answer:
The relationship between the number of scoops and the number of dogs is not proportional
Step-by-step 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 [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
First situation
You prepare 8 scoops of dog food for 4 dogs
x=8, y=4
Find the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the values of x and y
[tex]k=\frac{4}{8}=0.5[/tex]
Second situation
You prepare 12.5 scoops of dog food for 5 dogs
x=12.5, y=5
Find the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the values of x and y
[tex]k=\frac{5}{12.5}=0.4[/tex]
Compare the values of k
[tex]0.5\neq 0.4[/tex]
The values of k are not equal
therefore
The relationship between the number of scoops and the number of dogs is not proportional
