To sketch: The graph of the linear function .
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.
Obtain the value of y for various values of x and draw the graph of y as shown below in Figure 1.
From Figure 1, it is observed that the value of x-intercept is 50.
To explain: The meaning of the slope, y-intercept and the x-intercept of the graph obtained in part (a).
The value of slope represents the rate of change of spaces rented as the rental space changes.
The y-intercept represents the number of occupied space.
The x-intercept represents the rental fee.
Slope denotes the rate of change of spaces rented as the rental space changes. The negative sign of the slope indicates that the number of spaces rented decreased by 4 as the rental space increases for $1 each.
The y-intercept is 200, which represents that the number of occupied space when there is no charge for each space.
The x-intercept is 50, which represents the rental fee even there is no space is occupied.
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