Math Problem Statement
The table below gives a small company's monthly increases in sales (in thousands of dollars). Use the table to answer the following questions: (a) Which month(s) had a drop in sales, and the drop was less than $190,000? Select all that apply. (b) Which month had the smallest change in sales?
Solution
Let's analyze the table and answer the questions.
Given Data:
Month | Increase in sales (thousands of dollars) |
---|---|
May | -139 |
June | -289 |
July | 380 |
August | 72 |
September | 13 |
(a) Which month(s) had a drop in sales, and the drop was less than $190,000?
- A drop in sales means a negative value.
- May: -139 (drop of $139,000, which is less than $190,000) ✅
- June: -289 (drop of $289,000, which is more than $190,000) ❌
- Correct answer: May
(b) Which month had the smallest change in sales?
- Change in sales refers to the absolute value (ignoring the sign).
- May: 139
- June: 289
- July: 380
- August: 72
- September: 13 (smallest change) ✅
- Correct answer: September
Would you like a detailed explanation or have any other questions?
5 Related Questions:
- How do you determine whether a value represents an increase or a decrease in sales?
- Why does September have the smallest change in sales?
- What would the answer be if the question asked for the largest drop in sales?
- How can absolute values help in solving problems like these?
- If another month had a sales drop of -180, would it be included in part (a)'s answer?
Tip:
When comparing increases and decreases, always check the absolute value to determine magnitude.
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Math Problem Analysis
Mathematical Concepts
Negative numbers
Absolute value
Comparison of values
Formulas
Absolute value: |x|
Comparison logic to identify smallest or largest values
Theorems
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Suitable Grade Level
Grades 6-8
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