Use the image to answer the question.

A pie chart shows the following distribution: 1 to 2, 35; 3 to 4, 18; 5 to 6, 13; 7 plus, 11. Each segment of the pie chart shows a different pattern.

Heraldo surveyed a group of people and asked them how many tattoos they had. His results are represented in the circle graph. What percentage of people responded with 1–2? Express the answer as a decimal, and round to the nearest tenth.

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1 answer

To find the percentage of people who responded with 1 to 2 tattoos from Heraldo's survey, we start by determining the total number of responses and then calculating the percentage for the 1 to 2 category.

  1. Identify the values from the pie chart:

    • 1 to 2 tattoos: 35
    • 3 to 4 tattoos: 18
    • 5 to 6 tattoos: 13
    • 7 plus tattoos: 11
  2. Calculate the total number of responses: \[ \text{Total} = 35 + 18 + 13 + 11 = 77 \]

  3. Calculate the percentage of people who responded with 1 to 2 tattoos: \[ \text{Percentage} = \left( \frac{35}{77} \right) \times 100 \]

  4. Perform the division: \[ \frac{35}{77} \approx 0.454545 \]

  5. Convert to percentage: \[ 0.454545 \times 100 \approx 45.4545 \]

  6. Round to the nearest tenth: \[ 45.4545 \approx 45.5 \]

Thus, the percentage of people who responded with 1 to 2 tattoos is 45.5 (as a decimal percentage rounded to the nearest tenth).