Math Problem Statement

Each person in a community was asked, "What is your favorite type of pet?" The pie chart below summarizes their responses. (a) Which category was chosen by approximately one-fifth of the community? (b) Approximately what percentage of the community chose Dog or Bird? (c) If 5% of the community chose None, approximately what percentage chose Fish?

Solution

To answer the questions based on the provided pie chart:

Part (a)

The question asks which category was chosen by approximately one-fifth of the community. In a pie chart, one-fifth of the community would correspond to 20% of the chart. Observing the sections, the "Cat" category appears to represent approximately one-fifth of the pie chart.

Answer for (a): Cat

Part (b)

This part asks for the approximate percentage of the community that chose "Dog" or "Bird." Observing the chart:

  • The "Dog" and "Bird" sections are relatively large compared to other categories, each likely close to 30% based on their slice sizes.

Estimating these two sections together, "Dog" and "Bird" could sum up to around 60%.

Answer for (b): 60%

Part (c)

If 5% of the community chose "None," the question is what percentage chose "Fish."

In the chart, "Fish" appears to be about three times the size of the "None" section, suggesting around 15%.

Answer for (c): 15%


Would you like further explanation on any part of this solution?

Here are related questions for further exploration:

  1. What is the method to convert a pie chart segment into a percentage?
  2. How can we approximate percentages in a pie chart without precise values?
  3. How is one-fifth represented as a percentage in various contexts?
  4. If given actual percentages, how would calculations change in this scenario?
  5. What other types of data visualizations could present similar survey data effectively?

Tip: When analyzing pie charts, remember that each slice visually represents a part-to-whole relationship, which can be approximated by comparing segment sizes visually.

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Math Problem Analysis

Mathematical Concepts

Percentages
Pie Charts
Proportional Reasoning

Formulas

Percentage = (Part / Whole) * 100

Theorems

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Suitable Grade Level

Grades 6-8