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Select the correct values in the table.

A journalist is assigned to write a story that is 1,200 words long. To fit in the publication's available space, the story's length can vary by no more than 75 words. Which word counts would be accepted by the journalist's publication?

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
\multicolumn{5}{|c|}{Word Counts} \\
\hline
1,100 & 1,125 & 1,260 & 1,290 & 1,300 \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
To solve this, we need to determine which word counts fall within the acceptable range of the target word count of 1,200 words, allowing for a variation of ±75 words.

1. Identify the target word count and the allowed variation:
- Target word count: 1,200 words
- Allowed variation: ±75 words

2. Calculate the acceptable word count range:
- Lower bound: 1,200 - 75 = 1,125 words
- Upper bound: 1,200 + 75 = 1,275 words

3. Check each word count to see if it falls within the acceptable range:

[tex]\[ \begin{array}{|c|c|} \hline \text{Word Count} & \text{Acceptable?} \\ \hline 1,100 & \text{No} \\ \hline 1,125 & \text{Yes} \\ \hline 1,260 & \text{Yes} \\ \hline 1,290 & \text{No} \\ \hline 1,300 & \text{No} \\ \hline \end{array} \][/tex]

4. Conclusion:
- The word counts that are within the acceptable range are 1,125 and 1,260.

Therefore, the word counts 1,125 and 1,260 would be accepted by the journalist's publication.

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