The graph shows the expenditure by oil companies for new and natural gas project

Question

The graph shows the expenditure by oil companies for new and natural gas projects for the years 2001 to 2004. The expenditure, E(t), in billions of dollars cars be approximately by the function. E(t) = 7 t^2 - 7.8 t + 81.2 Where t is the number of years since 2001. Use the function to estimate the expenditure by oil companies in 2004. Compare your answer form part a) to the bar graph. Does the graph support answer? If this graph continues, estimate the expenditure of oil companies for new oil and natural gas projects in 2007? A ball rolls down an inclined plane. The discharge, d(t) in feet the balls has travelled is givcen by the function d(t) = 2.36 t^2. Where t is the time is seconds, 0 lessthanorequalto t lessthanorequalto 5. Find the distance the balls has travelled down the directions plane in 1 seconds. 3 seconds. 5 seconds. Inflations erodes our purchasing power, Because of inflations there than we pay for them today, The distance C(t) = 0.3 t^2 + 0.59 t + 9.61., where t is years since 1995, approximately the cost, in thousands of dollars, for purchasing in future what $10,000 would purchase in 1997. The function is based on a 6 % annual inflammations cost, and 0 lressthanorequalto t lessthanorequalto 25. Estimate the cost in 2002 for goods, that costs $10,000 in 1997. The function f(a) = 76.85a - 559.87 can be used to estimate the performance whoi says theoru schools is not drug free. In this series represents the student's age, where 12 lessthanorequal a lessthanorequalto 1. Use the function toi estimate the percentage of 13-years old who say their school is not drug free.

Explanation / Answer

E(t) = 7t^2 - 7.8t +81.2

since 2001

a) 2004 ; t = 3

b) E(3) = 7*3^2 - 7.8*3 + 81.2 = 129.48 billion $

b) From bar graph , in 2004 = 120 billion $

So, the graph supports the answers

c) In 2007 ; x = 6

E(6) = 7(6)^2 - 7.8(6) +81.2 = 286.4 billion $

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