Q31. - Algebra 1

Question

The circle graph at the right shows the results of a survey that asked, "How likely is it that you will be rich some day?" If the margin of error is $\pm 4\%$ what is the range of the percent of teens who say it is very likely that they will be rich?

Step-by-Step Solution

Answer

The range is $11\%$ to $\text{19\%}$.

Step-1. Construct the given pie chart.

The given pie chart is shown below in which margin of error is $\pm 4\%$

Step-2. Considering range of percentage of teens.

Let the range of percentage of teens who say that it is very likely that they will become rich be x.

Step-3. Evaluate range of percentage of teens.

This range of percentage of such teens can be calculated as:

$\begin{array}{l}x=15\%(\text{from the pie-chart)}\pm \text{4\%(margin of error)}\\ \text{x=}\left(15\%-4\%\right)\text{ to }\left(15\%+4\%\right)\\ x=11\%\text{ to 19\%}\end{array}$

Therefore, the range of percentage of teens who say that it is very likely that they will be rich is $11\%$ to $\text{19\%}$.