Problem

U.S. Energy Consumption Energy consumption in the United States in quadrillion BTUs can be...

U.S. Energy Consumption Energy consumption in the United States in quadrillion BTUs can be modeled by C(x) = −0.013x2 + 1.281x + 67.147, where x is the number of years after 1970.

a. One solution to the equation 87.567 = −0.013x2 + 1.281x + 67.147 is x = 20. What does this mean?


b. Graphically verify that x = 20 is a solution to 87.567 = −0.013x2 + 1.281x + 67.147.


c. To find when after 2020 U.S. energy consumption will be 87.567 quadrillion BTUs according to the model, do we need to find the second solution to this equation? Why or why not?

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