Question

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 - eighth of the community? (b) approximately what percentage of the community chose bird or fish? write your answer as a multiple of 10% - that is, 10%, 20%, 30%,... (c) if 24% of the community chose dog, approximately what percentage chose none? 8% 16% 33% 72%

Explanation:

Step1: Analyze one - eighth of a circle

One - eighth of a circle in terms of percentage is \(\frac{1}{8}\times100\% = 12.5\%\). Looking at the pie - chart, the "Other" category seems to have a proportion close to this value.

Step2: Estimate the percentage for Bird or Fish

By visually estimating the combined proportion of the "Bird" and "Fish" slices in the pie - chart. The combined slice appears to be about \(20\%\) of the circle.

Step3: Estimate the percentage for None

If "Dog" is \(24\%\), and by visual comparison with the "Dog" slice, the "None" slice is approximately half of the "Dog" slice. So it is about \(16\%\).

Answer:

(a) Other
(b) \(20\%\)
(c) \(16\%\)