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A poll estimates that 43% of likely voters are in favor of additional restrictions on teenage drivers. The poll has a margin of error of plus or minus 4%. Write and solve an absolute value equation to find the minimum and maximum percent of voters that actually support the restrictions.
Group of answer choices

| x – 43 | = 4; minimum = 43%, maximum = 47%

| x – 4 | = 43; minimum = 39%, maximum = 47%

| x – 4 | = 43; minimum = 43%, maximum = 47%

| x – 43 | = 4; minimum = 39%, maximum = 47%

Answer :

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Answer: | x – 43 | = 4; minimum = 39%, maximum = 47%

Step-by-step explanation:

Given the following :

Percentage of voters in support of additional restrictions son teenage drivers = 43%

Margin of Error in polls = ±4 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

43% = estimated percentage

±4= error margin

Hence,

|mid value - estimate| = error margin

|x−43| = 4

Hence,

-4 + 43 = 39

4 + 43 = 47

39 ≤ x ≤ 47

Hence,

Least percentage point = 39

Greatest percentage point = 47

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