Question

A survey is taken and finds that 5,000 people in town would vote for candidate A. The survey company says their results are accurate within 3%. Write an absolute value inequality with x as the possible survey results.

Answer 1

the correct answer is A!!!

Answer 2

`4850 \leq x\leq 5150`

Explanation:

The 3% accuracy represents a margin of error, which offers an interval about the possible outcomes. In other words, the results can be in a range from -3% to 3%.

If 5,000 people would vote for the candidate with a 3% of accuracy, it meas the results are in the interval

`5,000-0.03(5,000)\leq v\leq 5,000+0.03(5,000)`

Where the minor value is without the 3% and the greatest possible is with 3%.

Therefore, the combined inequality is

`5000-150\leq x\leq 5000+150\\4850 \leq x\leq 5150`

Which means the accuracy of the survey states that from 4,850 to 5,150 people would vote for candidate A.