The U.S. Crude ll production, in billions of barrels, for the years from 2015 pr

Question

The U.S. Crude ll production, in billions of barrels, for the years from 2015 projected to 2035, can be modeled y years after 2015 and y equal to the number of billions of barrels of crude oil -0 001x2+0.058x+1973, with x equal a. Find and interpret the vertex of the graph of this model b. What does the model predict the crude ol production will be in 2038? c. Graph the function for the years 2015 to 2035 a, The vertex of the graph of this model is v =GJU) ). (Round to three decimal places as needed.) Choose the correct interpretation of the vertex below O A. The minimum number of barrels of crude oil projected to be produced during this period is 2.814 billion barrels. O B. The maximum number of barrels of crude oil projected to be produced during this period is 29 000 billion barrels. O C. The minimum number of barrels of crude oil projected to be produced during this period is 29.000 billion barrels. O D. The maximum number of barrels of crude oil projected to be produced during this period is 2.814 billion barrels. b. The model predicts the crude oil production to be Lbilion barrels of oil in 2038, (Round to three decimal places as needed )

Explanation / Answer

y = -0.001x^2 + 0.058 x + 1.973

a) x coordinate of the vertex is given by

x = -0.058 / 2(-.001)

x = 29

y coordinate of the vertex is

  -0.001(29)^2 + 0.058 (29) + 1.973

= 2.814

hence the vertex is

v = (29, 2,814 )

b) the maximum number of barrels of crude oil projected during this period is 2.814 billion barrels

option d is correct

b) crude oil production in 2038 =   -0.001(23)^2 + 0.058 (23) + 1.973

= 2.778 billion barrels

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