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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
BuyFindarrow_forward

Applied Calculus for the Manageria...

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 = 1.9467t + 70.082

where t is measured in years, with t = 0 corresponding to the beginning of 1990.

  1. a. Sketch the line with the given equation.
  2. b. What are the slope and the y-intercept of the line found in part (a)?
  3. c. Give an interpretation of the slope and the y-intercept of the line found in part (a).
  4. 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,

y=1.9467t+70.082 (1)

Substitute 0 for t in equation (1) and find the y intercept as,

y=1.9467(0)+70.082=70.082

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 y intercept of the line in part (a).

(c)

To determine

To give: The interpretation of slope m and y intercept of line in part (a).

(d)

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

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