Question
At a peach packaging plant,48,000lbs of fresh peaches are processed and packed each hour. The table shows the diminishing inventory of peaches over the hour.
At a peach packaging plant,48,000lbs of fresh peaches are processed and packed each hour. The table shows the diminishing inventory of peaches over the hour. Remaining peaches are sent to another part of the facility for canning.Peach Inventory
Time,t (hours) | Peaches,P (thousand pounds) |
---|---|
0 | 48 |
0.25 | 47 |
0.50 | 44 |
0.75 | 35 |
1.00 | 29 |
(a) Write the function for the linear model that gives peach inventory in thousand pounds, wheretis measured in hours, with data from
0t1.00.
(Round all numerical values to three decimal places.) P(t) =
thousand pounds (b) Use the model to estimate how many peaches are left in inventory after half an hour.
P
= thousand pounds
(c) Use the model to estimate how many peaches will be sent to canning.
P
= thousand pounds
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