Question

You prepare8 scoops of dog food for 4 ​dogs, and prepare15 scoops of dog food for 6 dogs. Is there a proportional relationship between the number of scoops and the number of​ dogs?
Choose the correct answer below.

Answer 1

Answer:

Is there a proportional relationship between the number of scoops and the number of​ dogs?

No.

Step-by-step explanation:

A proportional relationship is something like:

y = k*x

Here y can represent the number of scoops of dog food, and x the number of dogs.

First, we know that for 4 dogs he prepares 8 scoops of dog food, then:

8 = k*4

If the relationship is proportional, then we should have a similar equation for the case of 6 dogs, where he prepares 15 scoops of dog food:

15 = k*6

So if we have the same k in both equations, then there is a proportional relationship between the number of scoops and the number of dogs.

In the first equation we have:

8 = k*4

8/4 = k

2 = k

And in the second equation we have:

15 = k*6

15/6 = k

2.5 = k

The values of k are different, so no, there isn't a proportional relationship between the number of scoops and the number of dogs.