At a peach packaging plant, 48,000 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 Peaches, P (thousand pounds) Time, t (hours) 48 0.25 43 0.50 40 0.75 38 1.00 28 (a) Write a linear model for the data in the table. x thousand pounds is the amount of peaches remaining after t hours 0 sts 1 P(t) -20t48 (b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour. 0.5 X thousand pounds 38 (c) Use the model (not the table of data) to estimate how many peaches will be sent to canning. 28 x thousand pounds

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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At a peach packaging plant, 48,000 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
Peaches, P
(thousand pounds)
Time, t
(hours)
48
0.25
43
0.50
40
0.75
38
1.00
28
(a) Write a linear model for the data in the table.
x thousand pounds
is the amount of peaches remaining after t hours
0 sts 1
P(t) -20t48
(b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour.
0.5
X thousand pounds
38
(c) Use the model (not the table of data) to estimate how many peaches will be sent to canning.
28
x thousand pounds
Transcribed Image Text:At a peach packaging plant, 48,000 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 Peaches, P (thousand pounds) Time, t (hours) 48 0.25 43 0.50 40 0.75 38 1.00 28 (a) Write a linear model for the data in the table. x thousand pounds is the amount of peaches remaining after t hours 0 sts 1 P(t) -20t48 (b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour. 0.5 X thousand pounds 38 (c) Use the model (not the table of data) to estimate how many peaches will be sent to canning. 28 x thousand pounds
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