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Nate predicted that voter turnout for the next citywide election will be
23%, with a margin of error of
3%. Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?
Choose 1 answer:
(A) Between
20% and
26%
(B) Between
21.5% and
24.5%
(c) Between
23% and
26%
(D) Between
23% and
29%

Nate predicted that voter turnout for the next citywide election will be $23 \%$ , with a margin of error of $3 \%$ . Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error? $\newline$ Choose $1$ answer: $\newline$ (A) Between $20 \%$ and $26 \%$ $\newline$ (B) Between $21.5 \%$ and $24.5 \%$ $\newline$ (C) Between $23 \%$ and $26 \%$ $\newline$ (D) Between $23 \%$ and $29 \%$

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Write a linear inequality: word problems

Full solution

Q. Nate predicted that voter turnout for the next citywide election will be

23 \%

, with a margin of error of

3 \%

. Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?

\newline

Choose

1

answer:

\newline

(A) Between

20 \%

and

26 \%

\newline

(B) Between

21.5 \%

and

24.5 \%

\newline

(C) Between

23 \%

and

26 \%

\newline

(D) Between

23 \%

and

29 \%

Problem Understanding: Understand the problem. $\newline$ Nate predicted a voter turnout of $23\%$ with a margin of error of $3\%$ . We need to calculate the range of voter turnout by adding and subtracting the margin of error from the predicted percentage.
Calculate Lower Range: Calculate the lower end of the range. $\newline$ Subtract the margin of error from the predicted turnout to find the lowest plausible percentage. $\newline$ $23\% - 3\% = 20\%$
Calculate Upper Range: Calculate the upper end of the range. $\newline$ Add the margin of error to the predicted turnout to find the highest plausible percentage. $\newline$ $23\% + 3\% = 26\%$
Combine Results: Combine the results to state the range. $\newline$ The plausible range of voter turnout is between the lowest and highest percentages calculated in the previous steps. $\newline$ The range is between $20\%$ and $26\%$ .

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