Use linear interpolation to estimate total units at 5:00 P.M.
What will be an ideal response?
Total production at 5:00 P.M. is estimated to be 16077.8 units.
Check by units per minute:
Between 4:07 P.M. and 5:01 P.M. (54 minutes)
Units grow by (161 10 – 14371) or 1739 units.
Thus, units per minute are 1739 / 54 = 32.204 (units/min)
5:00 P.M. is 53 minutes after 3:10 P.M.,
Thus, production at 5:00 P.M. is 32.204 (units/min) * 53 (min) This equals 1706.8 units more than at 4:07 P.M.
Therefore, at 5:00 P.M. the total units are:
14371 + 1706.8 = 16077.8 units
Note: The reasoning in the check follows the formula, piece by piece. Also notice that the production rate (units per minute) between 2:05 P.M. and 3:10 P.M. is less than half the production rate between 3:10 and 4:07. Thus, the data in the table is not linear and the estimates we make by assuming it is linear are only rough.
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