Chapter 1.4, Problem 73E

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10th Edition

Soo T. Tan

ISBN: 9781285464640

Textbook Problem

**NUCLEAR Plant UTILIZATION** The United States is not building many nuclear plants, but the ones it has are running full tilt. The output (as a percent 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?

*Source:* Nuclear Energy Institute.

(a)

To determine

**To sketch:** The graph of the given line.

Explanation

The equation of the given line is,

Substitute 0 for
*y* intercept as,

Substitute different values for *t* to obtain corresponding *y* values.

A table of values for *t* and *y* is shown below

(b)

To determine

**To find:** The slope and

(c)

To determine

**To give:** The interpretation of slope

(d)

To determine

The year in which the total capacity of nuclear power plant is the maximum.

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