\section*{Task 1 - 011021}

In 1970, the Soviet Union was to produce at least 900 billion kWh and in 1980 at least 2700 billion kWh of electricity. For the USA, the Federal Energy Commission assumes 1475 billion kWh and 2230 billion kWh, respectively.

When would the USSR have overtaken the USA in electricity production if a constant increase in energy production is assumed?
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The amount of energy produced \(E\) (in billion kWh) can be described by linear functions, assuming a uniform increase. The function for the Soviet Union is \(E_{S U}=900+180 x\), and for the USA \(E_{U S A}=1475+75.5 x\), where \(x\) is the number of years after 1970.

The energy production of both countries is equal when

\[
E_{S U}=E_{U S A}, \text { i.e., } 900+180 x=1475+75.5 x
\]

or, after rearranging, \(x \approx 5.5\). This will be the case in the year 1976.