Math Problem Statement

solve

The equation for the line of best fit is y = 15,000x + 95,000. According to the equation, which of these statements is true? A team member's annual sales increase by about $15,000 for each year of experience or A team member's annual sales increase by about $95,000 for each year of experience?

Solution

The equation for the line of best fit is given as y=15,000x+95,000y = 15,000x + 95,000, where:

  • yy represents the annual sales,
  • xx 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:

  1. What does the y-intercept (95,000) represent in the context of this scenario?
  2. How can we interpret the slope of the line in other real-life situations?
  3. If the equation were y=10,000x+90,000y = 10,000x + 90,000, how would the sales change with experience?
  4. How can you predict the annual sales for a team member with 8 years of experience?
  5. 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