Because they are necessary for security and safety at their numerous world-wide locations, 243 heavy-duty generators are purchased by ADTF
Distributors regardless of price. In the steps of this question, you will find the demand function $q = D(p)$ for the quantity of generators
demanded as a function of price, p, in dollars.
(a) Use the entry boxes in the applet to make the coordinates of point A match the scenario when the price for each generator is $480. Also,
use the entry boxes to match the coordinates of point B to the scenario where generators sell for $1,080. The positions of both points A and B
will be graded upon submission. After entering a value in an entry box, you will need to hit enter or navigate out of the box to have the applet
update and display of what you entered.
(b) How should each axis be labeled in the graph above? The horizontal (x) axis should be labeled with variable
be labeled with variable
(c) Find the slope of the line.
Slope: $m = $
(d) In the context of this model, the units of the slope will be ???
The vertical (y) axis should
Use this to complete the sentence below. Select the
best word or phrase (from the given options) to interpret the meaning of the slope found in part (c).
For any ???
???
, the number of generators purchased by ADTF Distributors
(e) Write the equation of the line in slope-intercept form. Remember to use variables p and q.
The equation of the line is
(f) Write the linear demand function, in function notation.
$D($
(g) Use the demand model to complete the following sentence. Round to the nearest whole number. Then, fill in the blanks to show how the
information in the sentence may be expressed in function notation.
ADTF Distributors will purchase
generators when the generators sell for a price of $628.
In function notation, we may write: $D($