Question

which model represents the ratio of 4 triangles to 8 circles?

Explanation:

Step1: Analyze the ratio requirement

We need a model with 4 triangles and 8 circles. The ratio of triangles to circles is \(4:8\) (or simplified \(1:2\), but we check the counts directly).

Step2: Check the left model

Left model: Triangles = 3, Circles = 8. Not 4 triangles.

Step3: Check the right model

Right model: Triangles = 4, Circles = 8 (let's count: triangles are 4, circles: let's see the number of blue circles. From the right column, after 4 triangles, the circles: let's count the blue circles. Let's list: triangles (purple) are 4, circles (blue) are 8? Wait, looking at the right model: triangles: 4 (let's count the purple triangles: first row 1, second 1, third 1, fourth 1: total 4). Circles: let's count the blue circles. Let's see the right column: after the 4 triangles, the circles: let's count each blue circle. Let's count: first blue circle, second, third, fourth, fifth, sixth, seventh, eighth? Wait, maybe the right model has 4 triangles and 8 circles. The left model has 3 triangles and 8 circles (no, left has 3 triangles? Wait no, left: triangles: 3 (first three rows), circles: 8 (the blue ones). Right: triangles: 4 (four rows), circles: 8? Wait the problem is ratio 4 triangles to 8 circles. So we need a model with 4 triangles and 8 circles. So the right model (the second column) has 4 triangles (purple) and 8 circles (blue)? Wait let's recount. Left: triangles: 3 (three purple triangles), circles: 8 (eight blue circles). Right: triangles: 4 (four purple triangles), circles: let's count the blue circles. Let's see the right column: after the 4 triangles, the blue circles: let's count each. Let's see the right model: triangles (purple) are 4 (rows 1 - 4), circles (blue) are 8? Wait maybe the right model has 4 triangles and 8 circles. So the correct model is the right one (the second vertical strip).

Answer:

The right - hand model (the second column of figures) represents the ratio of 4 triangles to 8 circles.