Question

8 cats weigh 86 lbs. and 6 small dogs weigh 64.5 lbs. Is this proportional and if so, what is the constant of proportionality?

Answer 1

yes, and the constant of proportionality is 10.75

Explanation:

Let's check the weight of each cat and each dog.

The weight of each cat is given by:

`c=(86 lbs)/(8)=10.75`

The weight of each dog is given by:

`d=(64.5 lbs)/(6)=10.75`

Therefore, we notice that:

- the weight of each dog and each cat is the same (10.75), so

- The two quantities are proportional, and moreover

- the constant of proportionality is 10.75