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To find the missing sales value \( P \) for January, we can analyze the increase (or decrease) column to determine the differences in sales month-to-month. Let’s go through the available data and use it to find \( P \).

The table provides the following information:

1. **February Sales**: 56,000 with an increase of 11,000 from January, meaning:
   \[
   P + 11,000 = 56,000
   \]
   Solving for \( P \):
   \[
   P = 56,000 - 11,000 = 45,000
   \]

So, the sales value \( P \) for January is **45,000**.

Would you like more detailed analysis or have any further questions?

Here are some related questions to consider:
1. How would you calculate a missing increase or decrease value if you knew the sales for two consecutive months?
2. What formula could you use if the data provided only the percentage increase or decrease instead of exact values?
3. How would the analysis change if sales data for one month were significantly outlier (e.g., due to a seasonal event)?
4. How can this table be expanded to include other indicators like cumulative sales growth?
5. How could this trend analysis help in forecasting future months?

**Tip**: When interpreting trend tables, always look for patterns in increase or decrease columns—they often reveal valuable insights about overall performance.

Find the missing sales value P for January in the trend analysis table, given the sales values and monthly increases (or decreases) for subsequent months.

Learn how to determine a missing sales value in a trend analysis table using basic algebra and arithmetic. This problem involves finding the sales value for January by analyzing monthly sales increases and decreases. Ideal for students in Grades 6-8.

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