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Linear Interpolation. (a quick how-to). Wendi Morrison 2010. Situation. Distance vs. Time. Start with data, not necessarily linear. What was the distance at 35 s?. Use a straight line to estimate a value between known data. When was the distance 200 m?. What was the distance at 35 s?.

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Linear interpolation

Linear Interpolation

(a quick how-to)

Wendi Morrison 2010


Situation
Situation

Distance vs. Time

  • Start with data, not necessarily linear.

What was the distance at 35 s?

  • Use a straight line to estimate a value between known data.

When was the distance 200 m?


What was the distance at 35 s
What was the distance at 35 s?

  • Choose the two points that capture 35 s.

  • Plot the points to make a triangle.

  • Label what you know.

160

  • Make a smaller triangle.

  • Label the triangle sides.

90 + x

70

x

x

The triangle is this shape because the graph goes up…

90

30

5

35

40

  • Solve the ratio:

10

Round to the same precision

as 35 s.

  • Add x to the lower value:

  • 90 + 35 = 125

The distance at 35 s was about 125 m.


When was the distance 200 m
When was the distance 200 m?

  • Choose the two points that capture 200 m.

  • Label what you know.

  • Plot the points to make a triangle.

250

  • Make a smaller triangle.

  • Label the triangle sides.

200

90

40

160

  • Solve the ratio:

40

x

40 + x

50

10

Round to the same precision.

  • Add x to the lower value:

  • 40 + 4 = 44

The distance was 200 m at about 44 s.



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