In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as -0.042r 254.43e (1+2.12e-0.0422 Here P is measured in billions of barrels per year, and this time, in years, since 2000. (a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 19 15 10 St P 35 0 25 20 35 30 25 19 10 P=. St 10 10 20 20 30 30 40 40 35 30 25 20 15 10 S 10 20 30 30 25 20 505 15 10 (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 19 (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year 10 20 30 40
In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as -0.042r 254.43e (1+2.12e-0.0422 Here P is measured in billions of barrels per year, and this time, in years, since 2000. (a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 19 15 10 St P 35 0 25 20 35 30 25 19 10 P=. St 10 10 20 20 30 30 40 40 35 30 25 20 15 10 S 10 20 30 30 25 20 505 15 10 (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 19 (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year 10 20 30 40
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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![In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as
-0.042r
254.43e
(1+2.12e-0.0422
Here P is measured in billions of barrels per year, and this time, in years, since 2000.
(a) Make a graph of world crude oil production for 2000 through 2040.
P
P
35
30
25
20
15
10
5
35
30
25
20
19
10
5
P=-
10
10
20
20
30
30
40
40
O
35
30
25
20
15
10
5
10
20
30
40
P
35
30
25
20
15
10
5
Ć
(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
19
(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
billion barrels per year
10
20
30
40
t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbe07058-fe60-4428-80b6-ab569dc7f355%2F2560d940-81fc-4d82-9964-c903eda1aaa4%2Fl84drwc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil production as
-0.042r
254.43e
(1+2.12e-0.0422
Here P is measured in billions of barrels per year, and this time, in years, since 2000.
(a) Make a graph of world crude oil production for 2000 through 2040.
P
P
35
30
25
20
15
10
5
35
30
25
20
19
10
5
P=-
10
10
20
20
30
30
40
40
O
35
30
25
20
15
10
5
10
20
30
40
P
35
30
25
20
15
10
5
Ć
(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)
19
(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)
billion barrels per year
10
20
30
40
t
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