Math Problem Statement
Solution
Based on the image you uploaded, the question asks about the rate at which annual income increases. Specifically:
- The average amount earned between the 5th and 10th year is $270.40 per year.
- The average amount earned between the 20th and 25th year is $492.6 per year.
The next part asks whether the rate at which annual income increases is increasing or decreasing.
Analysis:
- Between the 5th and 10th year, the average earning is $270.40.
- Between the 20th and 25th year, the average earning is $492.60.
Since the average amount earned per year has increased from $270.40 to $492.60, the rate at which annual income increases is increasing over time.
So, the correct choice would be "increasing".
Would you like more details or have any further questions?
Here are 5 related questions for deeper understanding:
- How can we calculate the exact rate of increase in income between two intervals?
- What factors could affect the change in income over time in a real-world scenario?
- How do linear and exponential growth models differ in explaining income growth?
- If the rate of increase continues, what would be the projected earnings after 30 years?
- How does compound interest relate to increasing rates of income over time?
Tip: Always compare data over multiple intervals to determine if the rate of change is consistent or accelerating.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Mean
Growth Rate
Formulas
(Total earnings over interval) / (Number of years in interval)
Theorems
Arithmetic Mean Theorem
Suitable Grade Level
Grades 9-12
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