Question

1. at a dog shelter, a 24-pound bag of dog food will feed 36 dogs a day. how many dogs would you expect to feed with a 16-pound bag of dog food? draw and label your ratio table. then answer.

Explanation:

Step1: Define the ratio

Let \( x \) be the number of dogs fed by 16 - pound bag. The ratio of dog food weight to number of dogs is constant. So we have the proportion \(\frac{24}{36}=\frac{16}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \( 24x = 36\times16 \).

Step3: Solve for \( x \)

First, calculate \( 36\times16=576 \). Then, \( x=\frac{576}{24} = 24 \).

We can also use a ratio table:

Dog Food Weight (pounds)	Number of Dogs
16	\( x \)

Since the ratio of weight to number of dogs is constant, we can find the unit rate. The unit rate of dogs per pound is \(\frac{36}{24}=\frac{3}{2}\) dogs per pound. Then for 16 pounds, the number of dogs is \( 16\times\frac{3}{2}=24 \).

Answer:

24