## Related questions with answers

In 1970 the United States produced 63.5 quadrillion BTU (British Thermal Units) of energy and consumed 67.86 quadrillion BTU. From 1970 through 2001, the total U.S. energy production increased by about 0.2813 quadrillion BTU per year, and the total U.S. energy consumption increased by about 0.912 quadrillion BTU per year. a. Write two equations that model the total U.S. energy production and consumption (in quadrillion BTU) as functions of the number of years since 1970. b. How much more energy was consumed than produced in the U.S. in 1970 and in 2001? What was the change in the amount of energy consumed from 1970 to 2001?

Solution

Verifieda) Write the model $P(t)$ for the energy production. The function is linear with the slope $0.2813$ and passes through the point $(0,63.5)$.

$\begin{align*} P-63.5&=0.2813(t-0)\\ P&=0.2913t+63.5 \end{align*}$

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