Chapter 1.2, Problem 14E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

The manager of a weekend flea market knows from past experience that if he charges *x* dollars for a rental space at the market, then the number *y* of spaces he can rent is given by the equation

(a) Sketch a graph of this linear function. (Remember that the rental charge per space and the number of spaces rented can't be negative quantities.)

(b) What do the slope, the *y*-intercept, and the *x*-intercept of the graph represent?

(a)

To determine

**To sketch:** The graph of the linear function

Explanation

Let *x*-axis be represented the rental charge in dollars and the *y*-axis be represented the number of spaces rented.

Given that the linear function of number of spaces is

Here, the slope of the linear equation is −4 and the *y*-intercept is 200

(b)

To determine

**To explain:** The meaning of the slope, *y*-intercept and the *x*-intercept of the graph obtained in part (a).

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