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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.10, Problem 68E

(a)

To determine

**To sketch:** the graph of the given linear equation.

Expert Solution

The linear equation is given,

Where,

*y* is the number of spaces that manager can rent.

*x* is the charges for a rental space in dollars.

Calculate *x-*intercept and *y-*intercept of line to find the two points of the linear equation that represents a line,

Substitute 0 for *y* in equation (1) to find the value of *x-*intercept,

The first point on the linear equation is

Substitute 0 for *x* in equation (1) to find the value of *y-*intercept,

The second point on the linear equation is

The equation (1) is in the form of general equation
*m* is

Sketch the graph by the points
*m* is

Figure (1)

The graph of linear equation (1) is shown in above Figure (1).

(b)

To determine

The significance of slope and the *y*- intercept of the graph of the line.

Expert Solution

From part (a), the slope of the linear equation is
*x-* intercept is 50 and the *y-*intercept is 200.

The slope represents a decrease of 4 spaces rented for each one dollar increase in rental price, the *y*-intercept indicates that 200 spaces are rented if there is no increase in price, and the *x*-intercept indicates that no space are rented with an increase of $50 in rental price.