Math Problem Statement
solve
Solution
The equation for the line of best fit is given as , where:
- represents the annual sales,
- represents the years of experience.
The slope of the line (15,000) indicates the change in annual sales for each additional year of experience.
Interpretation:
- The equation shows that the annual sales increase by $15,000 for each year of experience.
Thus, the correct statement is: A team member's annual sales increase by about $15,000 for each year of experience.
Let me know if you'd like further explanation or have any questions!
Here are some related questions to help explore this concept further:
- What does the y-intercept (95,000) represent in the context of this scenario?
- How can we interpret the slope of the line in other real-life situations?
- If the equation were , how would the sales change with experience?
- How can you predict the annual sales for a team member with 8 years of experience?
- How does the scatter plot compare to the equation of the line of best fit?
Tip: The slope of a line represents the rate of change. In this case, it's the rate at which sales increase with experience.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope represents rate of change
Suitable Grade Level
Grades 7-9
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