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 Time, t (hours) Peaches, P (thousand pounds) 0 48 0.25 43 0.50 40 0.75 38 1.00 28 (a) Write a linear model for the data in the table. 20t + 48)x thousand pounds is the amount of peaches remaining after t hours 0 sts1 P(t (b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour. P 0.5 =38 X thousand pounds (c) Use the model (not the table of data) to estimate how many peaches will be sent to canning 28 P 1 X thousand pounds

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.2: Linear Equations In One Variable
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The linear model is not right, i cant seem to figure it out so it is messing up the rest of the problem

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
Time, t
(hours)
Peaches, P
(thousand pounds)
0
48
0.25
43
0.50
40
0.75
38
1.00
28
(a) Write a linear model for the data in the table.
20t + 48)x thousand pounds
is the amount of peaches remaining after t hours
0 sts1
P(t
(b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour.
P 0.5
=38
X thousand pounds
(c) Use the model (not the table of data) to estimate how many peaches will be sent to canning
28
P 1
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 Time, t (hours) Peaches, P (thousand pounds) 0 48 0.25 43 0.50 40 0.75 38 1.00 28 (a) Write a linear model for the data in the table. 20t + 48)x thousand pounds is the amount of peaches remaining after t hours 0 sts1 P(t (b) Use the model (not the table of data) to estimate how many peaches are left in inventory after half an hour. P 0.5 =38 X thousand pounds (c) Use the model (not the table of data) to estimate how many peaches will be sent to canning 28 P 1 X thousand pounds
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