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(a).

Observe the table :

Graph:

Plot the ordered pairs $\"\"$ , where $\"\"$ is the price and $\"\"$ is the quantity.

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(b)

Determine whether the given function is linear or non linear.

First compute the average rate of change of $\"\"$ with respect to $\"\"$ and then compute the ratio of the consecutive outputs.

If the average rate of change is constant, then the function is linear else non-linear.

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Average rate of change

$\"\"$ $\"\"$

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$\"\"$ $\"\"$

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$\"\"$ $\"\"$

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$\"\"$ $\"\"$

Observe the table.

For the function, the average rate of change is $\"\"$ .

Since the average rate of change is constant , the function is a linear function.

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(c).

Definition of the slope :

If the average rate of change of the function is constant then slope of the line is the average rate of change of the function.

Slope of the linear function is $\"\"$ .

The slope of the function is $\"\"$ .

Consider the point $\"\"$ from the table.

The general form of linear function is $\"\"$ where the point is $\"\"$ and slope is $\"\"$ .

Substitute $\"\"$ and $\"\"$ inthe general form of linear equation.

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The linear function is $\"\"$ .

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(d).

The linear fucntion is $\"\"$ .

The price of the function is not negative and quantity of the function cannot be negative then $\"\"$ .

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The Domain of the function $\"\"$ is $\"\"$ or $\"\"$ .

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(e).

Graph:

Plot the ordered pairs $\"\"$ .

Graph the linear function in the interval $\"\"$ .

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(f).

The linear fucntion is $\"\"$ .

Slope of the linear function is $\"\"$ .

If the price increases $ $\"\"$ then the demand of $\"\"$ LCD monitor decreases by $\"\"$ monitor.

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(g).

The linear fucntion is $\"\"$ .

To find $\"\"$ - intercept, substitute $\"\"$ in the function $\"\"$ .

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The $\"\"$ - intercepts $\"\"$ .

$\"\"$ - intercepts : When the price is $ $\"\"$ , $\"\"$ $\"\"$ LCD monitor will be demanded.

To find $\"\"$ - intercept, substitute $\"\"$ in the function $\"\"$ .

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The $\"\"$ - intercepts $\"\"$ .

$\"\"$ - intercepts : When there $\"\"$ $\"\"$ LCD monitor will be demanded when price is $ $\"\"$ .

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(a)

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(b) The average rate of chane of the function is constant,hence the given function is linear.

(d) The Domain of the function is $\"\"$ or $\"\"$ .

(e)

Graph of the linear fucntion is $\"\"$ .

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(f) If the price increases $ $\"\"$ then the demand of $\"\"$ LCD monitor decreases by $\"\"$ monitor.

(g)

$\"\"$ - intercepts : When the price is $ $\"\"$ , $\"\"$ $\"\"$ LCD monitor will be demanded.

$\"\"$ - intercepts : When there $\"\"$ $\"\"$ LCD monitor will be demanded when price is $ $\"\"$ .