Question

lets prepare for a marathon with some tips about how much to eat and drink each day. build a model and choose an expression to represent each tip. tip two: eat \\(\frac{1}{4}\\) cup of fruits and nuts 7 times each day. this time, each square represents 1 cup. which model shows \\(\frac{1}{4}\\) cup shaded?

Explanation:

Step1: Analyze the fraction

To represent $\frac{1}{4}$ of a cup, we need a model where a whole (1 cup) is divided into 4 equal parts, and 1 part is shaded.

Step2: Evaluate the models

• The first model: The square (representing 1 cup) is divided into 4 equal vertical strips, and 1 strip is shaded. This means the shaded area is $\frac{1}{4}$ of the whole (since 1 out of 4 equal parts is shaded).
• The second model: All 4 strips are shaded, which represents $\frac{4}{4} = 1$ cup, not $\frac{1}{4}$ cup.

Answer:

The first model (with 1 out of 4 strips shaded) shows $\frac{1}{4}$ cup shaded.