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Learning Goal

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Recognize constant rate situations

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HSF.LE.A.1.b

**HSF.LE.A.1.b**: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

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HSF.LE.A.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

What you'll learn

  1. Define "constant rate of change" as a fixed amount added (or subtracted) per unit interval, and connect this to the slope of a linear function
  2. Identify constant rate situations from verbal descriptions by recognizing key phrases such as "per hour," "each month," "for every," and "at a steady pace"
  3. Distinguish constant rate situations (linear) from constant percent rate situations (exponential) when both are described in words
  4. Write a linear function f(x) = mx + b from a constant rate description, identifying the rate as slope and the starting value as y-intercept
  5. Interpret the rate and initial value in context, including correct units (e.g., "dollars per month," "miles per hour")
  6. Evaluate the reasonableness of a linear model by considering whether a constant rate assumption makes sense for the given context

Slides

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1

Define and recognize constant rate

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2

Write functions and evaluate models

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Practice

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