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Suppose you know the density of some (strange) substance at 10oC and 20oC, 125 gm/cm3 and 145 gm/cm3.

You want to know its density at, say, 13oC. You could use linear interpolation.

To do so, you first find the linear function that satisfies the points (10, 125) and (20, 145). I think it's D=105 + 2t.

Now since 13 is between the temperatures for which we have data we can interpolate: 105 + 2(13) = 131 or 131 gm/cm3.

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