Representing Linear Non-proportional Relationships

Representing Linear Non-proportional Relationships
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  • If you want to solve  Linear Non-proportional Relationships you have to put the equation in the form of y=mx+b. Then you want to plot the y intrcecpt(0,b).
  • Then you use the slope to find another point on the line. Then you connect the two points to form a straight line.
  • Here is one example of a linear non-proportional relationships. 
  • The diameter of a Douglas fir tree is currently 10 inches when it is measured at chest height. After 50 years, the diameter is expected to increase by an average growth rate of 2/5 inch per year. The equation y=(2/5)x+10  gives y, the diameter of the tree in inches, after x years. Draw a graph of the equation. Describe the relationship.
  • Make sure to show all of the steps on solving the question to have people understand what you are trying to solve.
  • The diameter of a Douglas fir tree is currently 10 inches when it is measured at chest height. After 50 years, the diameter is expected to increase by an average growth rate of 2/5 inch per year. The equation y=(2/5)x+10  gives y, the diameter of the tree in inches, after x years. Draw a graph of the equation. Describe the relationship.
  • Make a table. Choose several values for x that make sense in context. To make calculations easier, choose multiples of 10. Then Plot ordered pairs from the information in the table. Then draw a line connecting the points to represent all the possible solutions. Then the graph is a line but it does not go through the origin.
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