he gross profit for United Parcel Service, Inc. has been increasing steadily for the past several years. The gross profits for UPS are given below. Gross Profit (millions of $) Years 2011 41.827 2012 42,683 2013 43,925 2014 45,874 2015 47,836 (a) What variables are appropriate? O C (gross cost of UPS Inc. in billions of $) and P (gross profit of UPS Inc. in billions of s) Ot (years since 2010) and C (gross cost of UPS Inc, in billions of s) Ot (years since 2010) and R (gross revenue of UPS Inc. in billions of s) O C (gross cost of UPS Inc. in billions of s) and R (gross revenue of UPS Inc. in billions of s) O t (years since 2010) and P (gross profit of UPS Inc. in billions of s) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note that you may have to adjust your model based on the definitions in part (a Select-- (2) Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O (-, co) O (0, 20] O -2. 8) range O 141.9, 47.8]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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C (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $)
O E (years since 2010) and P (gross profit of UPS Inc. in billions of $)
(b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th
-Select-
() Give a reasonable domain and range for this model.
domain
O (-10, 10]
O [11, 15]
O -0, 0)
O [0, 20]
O [-2, 8]
range
[41.9, 47.8]
O [-50, 50]
[37.3, 52.3]
[0, 100]
O (-o, co)
(d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.)
The slope is
This means that the gross profit for UPS Inc.
--Select---
by about that value in billions of dollars each year.
(e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.)
In 2019, the profit for UPS Inc. will be
(f) What is the vertical intercept for this model? (Round your answers to one decimal place.)
(t, P) =
What does it mean in this situation? (Round the second answer to the nearest tenth of a billion dollars. Include units in your second answer. More information.)
In the year
the profit for UPS Inc. was about
Transcribed Image Text:C (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $) O E (years since 2010) and P (gross profit of UPS Inc. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th -Select- () Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O -0, 0) O [0, 20] O [-2, 8] range [41.9, 47.8] O [-50, 50] [37.3, 52.3] [0, 100] O (-o, co) (d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.) The slope is This means that the gross profit for UPS Inc. --Select--- by about that value in billions of dollars each year. (e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.) In 2019, the profit for UPS Inc. will be (f) What is the vertical intercept for this model? (Round your answers to one decimal place.) (t, P) = What does it mean in this situation? (Round the second answer to the nearest tenth of a billion dollars. Include units in your second answer. More information.) In the year the profit for UPS Inc. was about
he gross profit for United Parcel Service, Inc. has been increasing steadily for the past several years. The gross profits for UPS are given below.
Gross Profit
Years
(millions of $)
2011
41,827
2012
42,683
2013
43,925
2014
45,874
2015
47,836
(a) What variables are appropriate?
O C (gross cost of UPS Inc. in billions of $) and P (gross profit of UPS Inc. in billions of $)
Ot (years since 2010) and C (gross cost of UPS Inc, in billions of s)
O t (years since 2010) and
(gross revenue of UPS Inc. in billions of s)
O C (gross cost of UPS Inc. in billions of $) andR (gross revenue of UPS Inc. in billions of $)
O t (years since 2010) and P (gross profit of UPS Inc. in billions of 5)
(b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note that you may have to adjust your model based on the definitions in part (a).)
-Select-
(c) Give a reasonable domain and range for this model.
domain
O [-10, 10]
O [11, 15]
O (-0, co0)
O [0, 20]
O [-2, 8]
range
O [41.9, 47.8]
O [-50, 50]
Transcribed Image Text:he gross profit for United Parcel Service, Inc. has been increasing steadily for the past several years. The gross profits for UPS are given below. Gross Profit Years (millions of $) 2011 41,827 2012 42,683 2013 43,925 2014 45,874 2015 47,836 (a) What variables are appropriate? O C (gross cost of UPS Inc. in billions of $) and P (gross profit of UPS Inc. in billions of $) Ot (years since 2010) and C (gross cost of UPS Inc, in billions of s) O t (years since 2010) and (gross revenue of UPS Inc. in billions of s) O C (gross cost of UPS Inc. in billions of $) andR (gross revenue of UPS Inc. in billions of $) O t (years since 2010) and P (gross profit of UPS Inc. in billions of 5) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note that you may have to adjust your model based on the definitions in part (a).) -Select- (c) Give a reasonable domain and range for this model. domain O [-10, 10] O [11, 15] O (-0, co0) O [0, 20] O [-2, 8] range O [41.9, 47.8] O [-50, 50]
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