NUCLEAR PLANT UTILIZATION The United States is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percentage of total capacity) of nuclear plants is described by the equation y = 1.9467 t + 70.082 where t is measured in years, with t = 0 corresponding to the beginning of 1990. a. Sketch the line with the given equation. b. What are the slope and the y − intercept of the line found in part (a)? c. Give an interpretation of the slope and the y − intercept of the line found in part (a). d. If the utilization of nuclear power continued to grow at the same rate and the total capacity of nuclear plants in the United States remained constant, by what year were the plants generating at maximum capacity?
NUCLEAR PLANT UTILIZATION The United States is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percentage of total capacity) of nuclear plants is described by the equation y = 1.9467 t + 70.082 where t is measured in years, with t = 0 corresponding to the beginning of 1990. a. Sketch the line with the given equation. b. What are the slope and the y − intercept of the line found in part (a)? c. Give an interpretation of the slope and the y − intercept of the line found in part (a). d. If the utilization of nuclear power continued to grow at the same rate and the total capacity of nuclear plants in the United States remained constant, by what year were the plants generating at maximum capacity?
Solution Summary: The author illustrates how the graph for the given equation is shown in figure (1).
NUCLEAR PLANT UTILIZATION The United States is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percentage of total capacity) of nuclear plants is described by the equation
y
=
1.9467
t
+
70.082
where
t
is measured in years, with
t
=
0
corresponding to the beginning of 1990.
a. Sketch the line with the given equation.
b. What are the slope and the
y
−
intercept of the line found in part (a)?
c. Give an interpretation of the slope and the
y
−
intercept of the line found in part (a).
d. If the utilization of nuclear power continued to grow at the same rate and the total capacity of nuclear plants in the United States remained constant, by what year were the plants generating at maximum capacity?
Differential Equations: An Introduction to Modern Methods and Applications
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY