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Systems of Linear Equations

Systems of Linear Equations

Word Problems and Lines Examples

Example 1

For the following situation, 

  1. Decide what quantities the independent variable (x) and dependent variable (y) should represent.
  2. Draw a graph of the situation.
  3. Write a linear equation describing the situation.

Bobby has a lemonade stand and charges 25 cents for each glass of lemonade. Don't tell anyone, but he cuts the lemonade with  water to increase his profit margin. Did someone teach this kid right or what?

Example 2

For the following situation,

  1. Decide what quantities the independent variable (x) and dependent variable (y) should represent.
  2. Draw a graph of the situation.
  3. Write a linear equation describing the situation.

Joe lives 20 miles to the east of a very nice park. He left his home at 1 p.m. and drove east for 3 hours. When he stopped, he was 206 miles away from the park. The birds had finally stopped following him.

Example 3

For the following situation, 

  1. Decide what quantities the independent variable (x) and dependent variable (y) should represent.
  2. Draw a graph of the situation.
  3. Write a linear equation describing the situation.

Aunt Marjie doesn't like going outside in the cold. Seriously...she's a big baby about it. If it's -10° F she'll only stay outside for 2 minutes, but if it's 70° F she'll stay out for 2 hours. Even at 70° though, she's still complaining.

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