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Linearity in Application: Perspectives on Graphs and Equations

Explore the concept of linearity in various applications such as astronomy, economics, and biology. Understand how to interpret linear graphs and equations, estimate slopes, and identify patterns.

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Linearity in Application: Perspectives on Graphs and Equations

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  1. How Does Linearity Look in Application? Deborah Hughes Hallett University of Arizona Harvard University

  2. Perspectives on Linearization: Astronomer • The graph shows the number of hours, H, of daylight in Madrid for one month. • Why does the graph look linear? • Estimate and interpret the slope of the line. • What month does the graph show?

  3. Perspectives on Linearization: Economist How fast has CPI grown over last century?

  4. Another View of Same CPI Data

  5. Perspectives on Linearization: Biologist Michaelis-Menten Equation • V0 initial velocity of reaction • [S]0 is initial concentration of substrate • Vmax, KM are constants How Do You Know If a Reaction Follows Michaelis-Menten?

  6. How Do You Know If a Reaction Follows Michaelis-Menten? Linearize:

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