Math Problem Statement

Between which two consecutive months was there the GREATEST increase in sales? Between which two consecutive months was there the SMALLEST increase in sales?

Solution

Let's analyze the data in the graph and table.

Part (a) asks us to complete the sales data table.

From the graph:

  • August: Sales are around 20 (thousands of dollars).
  • September: Sales peak at 45 (thousands of dollars).
  • October: Sales decrease to 30 (thousands of dollars).
  • November: Sales drop to 10 (thousands of dollars).

So, the completed table looks like this:

MonthJulyAugustSeptemberOctoberNovember
Sales ($ Thousands)1320453010

Part (b):

  • (i) The greatest increase in sales is between August and September (from 20 to 45, an increase of 25 thousand dollars).
  • (ii) The smallest increase (actually a decrease) is between October and November (from 30 to 10, a decrease of 20 thousand dollars).

Would you like more details or explanations about these solutions? Here are five related questions:

  1. How do you calculate the difference in sales between months?
  2. Can you explain why there might be a sharp increase in September?
  3. How could a company use this sales data to improve future performance?
  4. What would the trend line look like if the sales continued to drop in December?
  5. How could you forecast future sales based on this data?

Tip: Always double-check graph scales to ensure accurate readings, especially when interpreting real-world data!

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Math Problem Analysis

Mathematical Concepts

Line Graph Interpretation
Basic Arithmetic

Formulas

Difference between two values (Sales in month B - Sales in month A)

Theorems

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Suitable Grade Level

Grades 6-8