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The world is using more crude oil every year. In 2000, the world used about 76 million barrels a day and in 2010 it used about 87 million barrels a day. First, use the above information to graph an equation showing linear progression. Show your work. Then: can this trend be made less linear? What would that model look like? What real world steps would have to be taken? Finally, if consumption is not curved, how many will we use in 2050?

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juziekimravidas

Answer:

in 2050 we will use about 131 million barrels a day

btw please rate this the brainliest

The given two points of data can be expressed as a linear model by

finding the slope and intercept.

Response:

  • The consumption in 2050 will be 131 million barrels

First part:

  • The linear equation for the oil consumption, y, x years after 2000 is; y = 1.1·x + 76
  • Please find attached the required attached graph of the above equation created with MS Excel

Second part:

  • The shape of the trend will be parabolic

Third part:

  • The real world steps that could be taken is to reduce the utilization of fossil fuels for power

Fourth part:

  • The consumption in 2050 will be 131 million barrels

How can a linear model be derived?

First part:

The amount of oil used in 2000 = 76 million barrel

The amount of oil used in 2010 = 87 million barrel

The slope of the graph is therefore;

[tex]Slope = \mathbf{\dfrac{87 - 76}{2010 - 2000}} = 1.1[/tex]

The equation of the graph is therefore;

y - 87 = 1.1·(x - 10)

Which gives;

y = 1.1·x - 11 + 87 =  = 1.1·x + 76

The oil consumption, y, x years after 2000 is; y = 1.1·x + 76

  • The graph of the above linear equation created with MS Excel is attached

Second part:

Taking trend can be made less linear by assuming a higher

consumption than the consumption in 2010, thereby making the model

look like a parabola.

Third part:

  • The real world steps that could be taken is to reduce the utilization of fossil fuels for power

Fourth part:

The consumption in 2050 is given by plugging in x = 50 in the linear equation, y = 1.1·x + 76

Which gives;

y = 1.1 × 50 + 76 = 131

  • The consumption in 2050 will be 131 million barrels

Learn more about linear models here:

https://brainly.com/question/10309631

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