Math Problem Statement

(b)A bag has five marbles. Three are labeled with a "1", and the other two are labeled with a "2". Make a percent bar graph for the marbles.

Solution

To create a percent bar graph for the marbles in the bag, we first need to determine the percentage distribution of the marbles labeled "1" and "2".

Here’s the breakdown:

  • There are 5 marbles in total.
  • 3 marbles are labeled with a "1".
  • 2 marbles are labeled with a "2".

The percentages are calculated as follows:

  • Percent of "1" marbles: 35×100=60%\frac{3}{5} \times 100 = 60\%
  • Percent of "2" marbles: 25×100=40%\frac{2}{5} \times 100 = 40\%

Percent Bar Graph Representation:

The graph will have two segments:

  1. A segment for the "1" marbles, which will be 60% of the total bar.
  2. A segment for the "2" marbles, which will be 40% of the total bar.

Text-based Visualization:

Marble Distribution:
1: 60% |█████████████████████████|
2: 40% |████████████████|

This is a simple representation where each segment of the bar corresponds to the percentage of marbles labeled "1" and "2".

Would you like a more detailed explanation or help with another question?

Related Questions:

  1. How would the graph change if there were 4 marbles labeled "1" and 1 labeled "2"?
  2. How can you use a bar graph to represent categorical data in other scenarios?
  3. How can you calculate the total number of marbles if a different ratio of "1"s and "2"s was given?
  4. What is the difference between a percent bar graph and a pie chart?
  5. How do you interpret the visual data from a bar graph in decision-making?

Tip: When creating bar graphs, always make sure the total percentage sums to 100%, as this will ensure the data is accurately represented.

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Math Problem Analysis

Mathematical Concepts

Percentages
Data Representation
Bar Graphs

Formulas

Percentage = (Part / Total) × 100

Theorems

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Suitable Grade Level

Grades 5-7