Final answer:
Of the provided options, a clustered column chart would be the best choice for showing changes to multiple entities over time, although a line graph, which is not listed, is actually often the most effective format for time-series data.
Step-by-step explanation:
The question concerns the types of charts that can effectively show changes to multiple entities over time. To answer this, we must consider how different chart types display data and their suitability for representing time-series information.
Clustered column charts are useful for comparing multiple categories of data side by side, showing changes over discrete time intervals for each of the categories separately. A box and whisker chart is utilized for depicting the distribution of a dataset and is less suited for illustrating changes over time. A dot matrix chart or dot plot can provide a simple visualization of frequency distribution, but it does not typically represent time series data. Lastly, a slope chart is primarily designed to show the difference between two points in time. While useful for observing changes between two dates, it does not handle multiple time points well.
A line graph is conspicuously absent from the options but is often the most effective format for illustrating relationships between two variables that are both changing, such as time-series data. This could show, for example, the pattern of unemployment rates over time. If one of the presented options were to be selected for showing changes over time, a clustered column chart would typically be the most suitable.