Crude Oil Consumption Analysis: Algebra Homework and Prediction

This assignment focuses on analyzing crude oil consumption using algebraic principles. It begins by calculating the slope and formulating a linear equation based on given data points representing years and corresponding crude oil consumption. The solution then predicts the consumption rate for the year 2050 using the derived linear equation. The assignment also explores the possibility of making the equation less linear and discusses the implications of using a quadratic equation instead. Finally, it describes the expected trend line of the linear model, indicating an increasing crude oil consumption over time. This assignment aims to demonstrate the practical application of algebra in analyzing real-world trends and making predictions.

Running head: MATH ALGEBRA 1
Math Algebra
Name:
Institution:

MATH ALGEBRA 2
Solution
The question gives two points on a plane that will be used to formulate the trend equation. First,
we get the slope or the gradient of the equation. In this case, we let x to be the year, and y be the
number of million barrels used per year.
The two points are; ( 2000 , 76 ) and ( 2010 , 87 ).
m = slope = ∆ y
∆ x = 87−76
2010−2000 = 11
10 =1.1
The linear equation of the two points is;
m = y2− y1
x2−x1
1.1 = y−76
x−2000
y−76 = 1.1 ( x−2000 )
y = 1.1 x−2200+76
y = 1.1 x−2124
Thus, the linear equation for the world crude oil consumption per year is; y = 1.1 x−2124
Prediction
The consumption rate in 2050 will be as follows. The developed equation is used to make the
2050 crude oil consumption prediction. The prediction is as follows;
y = 1.1 x−2124 ; where x = 2050
= 1.1∗(2050)−2124

MATH ALGEBRA 3
= 2255−2124
= 131
Thus, it is expected that in 2050 million barrels a day of crude oil will be used.
Can this trend be made less linear?
The equation can be made less linear if another point is given and a quadratic equation fitted
instead of linear line. This will make the equation less linear.
Can it be flattened?
It is hard to flatten the linear relation. When the exact values are used in terms of millions, the
order of the magnitude of the slope is not the same. Thus, instead of reducing the gradient of the
equation, it is increased 1,000,000 times.
Modeling this, what would it look like?
When linear model is used, the trend line is expected to slant from bottom right to top left. This
indicates that it is expected that the crude oil consumption will continue to increase with time.