Question

According to the graph, what was the relative size of prey caught by the smaller birds that were raised by another species? A) More than \(0.25\) but less than \(0.3\) B) More than \(0.2\) but less than \(0.25\) C) More than \(0.15\) but less than \(0.2\) D) More than \(0.1\) but less than \(0.15\)

Short answer

The relative size of prey caught by the smaller birds that were raised by another species is between \(0.15\) and \(0.2\), so the correct answer is C) More than \(0.15\) but less than \(0.2\).

Step-by-step solution

Observe the graph

Firstly, take a close look at the graph and its axes. Identify the position of smaller birds raised by another species on the graph, and find the corresponding point that represents their prey size.

Determine the prey size

Now that we have located the point for smaller birds raised by another species on the graph, read off the prey size from the y-axis. This is the number we will use to compare with the provided answer options.

Compare the prey size with answer options

Once the prey size is determined from the graph, compare it with the four given answer options: A) \(0.25 - 0.3\), B) \(0.2 - 0.25\), C) \(0.15 - 0.2\), and D) \(0.1 - 0.15\). Determine the correct range that the prey size value belongs to.

Choose the correct answer

After finding the range in which the prey size for smaller birds raised by another species falls into, select the correct answer option (A, B, C, or D).

Key concepts

Interpreting Graphs

Interpreting graphs is an essential skill in SAT problem solving, especially when dealing with questions that require data analysis. A graph is a visual representation of data that illustrates relationships and patterns. To interpret graphs effectively, first identify the types of graphs you are looking at—line graphs, bar charts, pie charts, or scatter plots. Each graph type provides different information. To start interpreting, look at the labels on the axes. They tell you what variables are being compared. Next, observe any titles or legends that explain the graph's purpose or the symbols used. For line graphs and scatter plots, locate specific points and read off the values by seeing where they align on the axis. For bar charts, look at the height or length of the bars. In pie charts, examine the size of slices relative to the whole. Using these steps, you can extract meaningful information and make comparisons, such as identifying trends over time, the relationship between variables, or comparative sizes, like the prey size of birds in our example.

Comparing Quantities

Comparing quantities is another fundamental skill for the SAT math section. This involves analyzing numerical values and determining their relative size or value. To compare quantities effectively, always consider the context provided by the question. Are you looking at percentages, decimal values, ratios, or some other numerical data? Each type will have a slightly different approach when it comes to comparison. For instance, if decimals are involved, as in the prey size of birds, remember that a higher decimal point corresponds to a larger quantity. Always align decimals properly to ensure accurate comparisons. Be cautious with percentages and ratios, as they might refer to parts of different-sized wholes. Once you grasp the numerical data, align it with the provided options or quantities to identify the correct comparison, whether it's greater than, less than, or equal to the other quantities.

SAT Math Strategies

Effective SAT math strategies can make the difference between a correct answer and a missed opportunity. When approaching SAT math problems, time management is crucial. Work quickly but carefully to ensure you have enough time to answer all questions. Always read the question and all answer choices thoroughly before starting to calculate anything. Prioritize questions that you find easier and leave the difficult ones for later. This ensures that you collect as many points for the questions you are confident in before tackling the challenging ones. Use the process of elimination to narrow down your choices. Eliminate any answer choices that are clearly wrong to improve your chances of guessing correctly if needed. Additionally, for questions involving graphs or charts, like the prey size problem, use estimation to double-check your answer. A visual inspection can often provide a quick check against misreading data or calculation errors.

Data Analysis

Data analysis on the SAT includes a variety of questions that deal with the interpretation of information from charts, graphs, and tables. The ability to analyze data is a key component of this section. It requires not just reading values, but understanding what data conveys in practical terms. To analyze data, first summarize the given information to understand what you're being asked to find. Look for patterns, outliers, or any points of interest that might be relevant to the question. Cross-reference these with the data presented in the graph or chart. As in our example, when determining the prey size for smaller birds raised by another species, it's important to pay attention to the scale and units on the axis to accurately read the value. Also, think critically about the data being presented. Question its reliability, and consider if there are external factors that might influence the results. This approach will serve not only in selecting a correct answer but also in understanding the deeper implications of the data.