Question

c. when a group of ratios are equivalent, it means there is a proportional relationship between the quantities. is there a proportional relationship between the pounds of hay eaten daily and the number of horses? explain.

Explanation:

Step1: Define proportional relationship

In a proportional relationship, the ratio of two quantities is constant. Let the number of horses be $h$ and the pounds of hay eaten daily be $p$. The ratio is $\frac{p}{h}$.

Step2: Consider real - world situation

If each horse eats a fixed amount of hay per day, say $k$ pounds of hay per horse. Then $p = kh$, and $\frac{p}{h}=k$ (a constant). So, if each horse has a consistent hay - eating rate, there is a proportional relationship.

Answer:

If each horse eats a consistent amount of hay per day, there is a proportional relationship between the pounds of hay eaten daily and the number of horses because the ratio of the pounds of hay eaten daily to the number of horses is constant.