Use linear extrapolation to estimate total units completed at 1:00 P.M,
Table of data 1:00 P.M. ???? p
2:05 P.M. 9874 1
3:10 P.M. 11240 2
The ratio equation for extrapolation is:
However by rearranging the minus signs this can be shown to be identical to Equation 6:
Therefore you can use the equations given for interpolation for extrapolation.
Note: The difference between 1:00 P.M. and 2:05 P.M. is negative 65 minutes The negative sign means that 1366 will be subtracted from 9874 rather than adding (as in interpolation).
Total production at 2:30 P.M. is estimated to be 10299.4 units.
Check by units per minute:
Between 3:10 P.M. and 2:05 P.M. (65 minutes)
Units grow by (11240 — 9874) or 1366 units.
Thus, units per minute are 1366 / 65 = 21.015 (units/min)
1:00 P.M. is 65 minutes before 2:05 P.M.,
Thus, production at 3:00 P.M. = 21.015 (units/min) * (-65 min)
This equals 1365.9 units less than at 2:05 P.M.
Therefore, at 2:30 P.M. the total units are:
9874 — 1365.9 = 8508.1
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