Question

emilio’s dog eats \\(\frac{3}{2}\\) cups of food in one serving. emilio has a bag with \\(6\frac{1}{2}\\) cups of food. he wants to know how many servings of food are in the bag. which model represents the number of cups of food in one serving?

Explanation:

Step1: Analyze the serving size

The serving size is $\frac{3}{2}$ cups, which is $1\frac{1}{2}$ cups.

Step2: Interpret the models

• The top model's shaded rectangle: Let's assume each small division is $\frac{1}{2}$ cup. The shaded part should represent $\frac{3}{2}$ cups. Counting the divisions, if we see that the shaded area corresponds to 3 half - cup divisions (since $\frac{3}{2}=3\times\frac{1}{2}$), that makes sense.
• The bottom model's shaded rectangle: If we assume the same division size, the shaded area here is larger, representing more than $\frac{3}{2}$ cups. So the top model, with the smaller shaded region that should represent $\frac{3}{2}$ cups (or $1.5$ cups) is the correct one to model the number of cups in one serving.

Answer:

The top model (with the smaller shaded rectangle)