Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.

33% or 43%

Step-by-step explanation:

Given that poll is accurate within .

38% voters have voted for candidate A.

is the percent of voters who will vote for candidate A.

So, value of A can be 38+5=43%

OR

38-5 = 33%

We will write an absolute function for the above situation.

But, first of all, let us have a look at the definition of Absolute value function.

The the value of function gives us a negative sign when the value inside the modulus function is negative.

will be negative when and

will be positive when .

This difference is given as .

Therefore, the absolute value function can be written as:

Case 1:

As per definition of modulus function, it will open with a negative sign.

Case 2:

As per definition of modulus function, it will open with a positive sign.

Therefore the answer is 33% or 43%

e.

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