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Introduction to Linear Relations — Part 1

Source: Wooden Blocks - Eakrin Rasadonyindee/iStock/Getty Images

Applications of Linear Relations

A building of a bank.

Interest Earned

Person making a wireless purchase with their phone.

Purchase Costs

A stack of building blocks descending in height from left to right.

Patterns

The human skeleton shown from the front, side, and back view.

Human Body Parts

Sources: Bank Sign - Warchi/iStock/Getty Images; Wireless Payment - visualspace/iStock/Getty Images;
Building Blocks - Gearstd/iStock/Getty Images; 3D Human Skeleton -
digitalgenetics/iStock/Getty Images

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Lesson Goals

  • Use patterns to identify growth rates and starting values in linear relations.
  • Develop equations to represent linear patterns or scenarios.
  • Create tables of values and corresponding scatter plots for linear relations and look at characteristics within each representation. Revisit how to identify an independent and dependent variable.
  • Compare linear and non-linear growth rates.

Try This

Jane and Jasper each walk kindergarten students home from school every weekday.

  • Jane always walks two children home and earns \($6\) per day.
  • Every Monday, Wednesday, and Friday, Jasper walks home four children and earns \($10\) per day. On Tuesday and Thursday, he only walks home one student and earns \($3\) per day.

If Jane and Jasper created their own scatter plot showing their cumulative earnings after each day, would the points on each of their graphs represent a linear relationship?