At a peach packaging plant, 41,000 lbs 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) 0 0.25 0.50 0.75 1.00 (a) Write a linear model for the P()--0.502x+ 2.152 Peaches, P (thousand pounds) 41 34 33 29 21 data in the table. (Be sure to use t as the independent variable. Round all numerical values to three decimal places.) thousand pounds is the amount of peaches remaining after t hours ✓osrst. (b) Use the unrounded model (not the table of data) to estimate how many peaches are left in inventory after half an hour. (Round all numerical values to three decimal places.) thousand pounds (c) Use the unrounded model (not the table of data) to estimate how many peaches will be sent to canning. (Round all numerical values to three decimal places)
At a peach packaging plant, 41,000 lbs 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) 0 0.25 0.50 0.75 1.00 (a) Write a linear model for the P()--0.502x+ 2.152 Peaches, P (thousand pounds) 41 34 33 29 21 data in the table. (Be sure to use t as the independent variable. Round all numerical values to three decimal places.) thousand pounds is the amount of peaches remaining after t hours ✓osrst. (b) Use the unrounded model (not the table of data) to estimate how many peaches are left in inventory after half an hour. (Round all numerical values to three decimal places.) thousand pounds (c) Use the unrounded model (not the table of data) to estimate how many peaches will be sent to canning. (Round all numerical values to three decimal places)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:At a peach packaging plant, 41,000 lbs 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)
0
0.25
0.50
0.75
1.00
Peaches, P
(thousand pounds)
41
34
33
29
21
(a) Write a linear model for the data in the table. (Be sure to use t as the independent variable. Round all numerical values to three decimal places)
P(t)= -0.502x+ 2.152
thousand pounds ✔ is the amount of peaches remaining after thours
Ostsi
x
(b) Use the unrounded model (not the table of data) to estimate how many peaches are left in inventory after half an hour. (Round all numerical values to three decimal places)
thousand pounds
(c) Use the unrounded model (not the table of data) to estimate how many peaches will be sent to canning. (Round all numerical values to three decimal places.)
thousand pounds
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