# Linear Interpolation - PowerPoint PPT Presentation

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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

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## Linear Interpolation

(a quick how-to)

Wendi Morrison 2010

### Situation

Distance vs. Time

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?

• 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?

• 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.