The following table shows daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013. Year t (year since 2008) 0 1 2 3 4 5 Daily Production p(t) (million barrels) 3.16 2.97 2.95 2.94 2.91 2.92 (a) Compute the average rate of change of p(t) over the period 2008–2011. HINT [See Example 1.] (Round your answer to three decimal places.) million barrels/yr Interpret the result. During 2008–2011, daily oil production by Pemex was increasing. During 2008–2011,, daily oil production by Pemex was constant.     During 2008–2011, daily oil production by Pemex was decreasing. (b) Which of the following is true? HINT [See Example 2.] From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased in value. From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased in value.     From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased then decreased in value. From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased then increased in value.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The following table shows daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013.

Year t (year since 2008)

0

1

2

3

4

5

Daily Production p(t)

(million barrels)

3.16

2.97

2.95

2.94

2.91

2.92

(a)

Compute the average rate of change of p(t) over the period 2008–2011. HINT [See Example 1.] (Round your answer to three decimal places.)

million barrels/yr

Interpret the result.

During 2008–2011, daily oil production by Pemex was increasing.

During 2008–2011,, daily oil production by Pemex was constant.    

During 2008–2011, daily oil production by Pemex was decreasing.

(b)

Which of the following is true? HINT [See Example 2.]

From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased in value.

From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased in value.    

From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased then decreased in value.

From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased then increased in value.

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