Math Problem Statement

What is the linear function in slop intercept form

Solution

The linear function in slope-intercept form is expressed as:

y=mx+by = mx + b

Where:

  • mm is the slope of the line.
  • bb is the y-intercept (the value of yy when x=0x = 0).

For the data provided, the linear function is:

y=4.31x+27.74y = 4.31x + 27.74

This means that for each year after 2010, the airline revenue from add-on fees increases by approximately $4.31 billion, starting from a base of $27.74 billion in 2010.

Would you like to dive deeper into this topic or explore anything else?

Here are 5 related questions for further exploration:

  1. How do you find the slope of a line if only two points are given?
  2. What is the significance of the y-intercept in real-world scenarios?
  3. How would the function change if the revenue trend slowed down over time?
  4. Can you find the equation of a line given a point and a slope?
  5. What happens to the linear function if the data shows a decrease in revenue over time?

Tip: When modeling real-world data, consider if a linear trend continues indefinitely or if other factors might alter the trend.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9