which model shows 30%?

Explanation:

Step1: Recall percentage formula

Percent means per - hundred. To find the percentage of a part in a whole, use $\text{Percentage}=\frac{\text{Number of parts}}{\text{Total number of parts}}\times100%$.

Step2: Analyze first model

The first model has 9 equal parts, and 3 are colored. $\frac{3}{9}\times100%=\frac{1}{3}\times100%\approx 33.3%$.

Step3: Analyze second model

The second model has 9 equal parts, and 3 are colored. $\frac{3}{9}\times100%=\frac{1}{3}\times100%\approx 33.3%$.

Step4: Analyze third model

The third model has 4 equal parts, and 1 is colored. $\frac{1}{4}\times100% = 25%$. Assume we consider a model with 10 equal parts. 30% means 3 out of 10 parts are colored. If we assume the models are meant to represent parts - of - a - whole with a common base of 10 (by adjusting the visual perception), a model with 3 colored parts out of 10 would represent 30%. But among the given models, if we consider the closest approximation conceptually, we note that if we had a model divided into 10 parts, 3 parts colored would be 30%. The first two models with 3 colored out of 9 are close but not exact, and the third with 1 out of 4 is not close. However, if we assume the models are not drawn to a strict 10 - part standard and we calculate the ratios: Let's assume we want to find a model where $\frac{x}{y}\times100 = 30$, or $\frac{x}{y}=\frac{30}{100}=\frac{3}{10}$. If we consider the models as fractions of a whole, we need to find the fraction closest to $\frac{3}{10}$. The first two models have a fraction of $\frac{3}{9}=\frac{1}{3}\approx0.333$ and the third has $\frac{1}{4} = 0.25$. The first two models with 3 colored parts out of 9 are the closest to representing 30% compared to the third one.

Answer:

The first two models (the ones with 3 colored parts out of 9) are the closest to showing 30% among the given options.