Given the demand curve Q = 200 -4p
Graph the demand curve showing exactly where it cuts the axes.
How much is demanded at a price of $10? $11? $9?
Use simple algebra. It cuts the X axis at Q=200, it cuts the y axis at p=50.
Simply plug in p=10 and solve for Q. Repeat for 11, and 9.
Please, show me the answer
To graph the demand curve Q = 200 - 4p, you need to plot a number of points that satisfy this equation. Since the demand curve is a linear relationship between price (p) and quantity demanded (Q), you only need to find two points to draw a straight line.
To find the points, you can arbitrarily choose values for p and then calculate the corresponding values for Q. Let's choose three different values: $10, $11, and $9.
For p = $10:
Q = 200 - 4(10) = 200 - 40 = 160
So, at a price of $10, the quantity demanded is 160.
For p = $11:
Q = 200 - 4(11) = 200 - 44 = 156
Therefore, at a price of $11, the quantity demanded is 156.
For p = $9:
Q = 200 - 4(9) = 200 - 36 = 164
Hence, at a price of $9, the quantity demanded is 164.
Now, plot these three points on a graph with quantity (Q) on the vertical axis and price (p) on the horizontal axis. Label the points accordingly.
To find where the curve cuts the axes, you need to identify the points at which the quantity demanded (Q) is zero and the price (p) is zero.
When Q = 0, we can solve the equation 200 - 4p = 0:
4p = 200
p = 50
So, the demand curve cuts the price axis (p-axis) at the point (50, 0).
Similarly, when p = 0, we can find Q by solving the equation 200 - 4p = 0:
200 - 4(0) = 0
Q = 200
Thus, the demand curve cuts the quantity axis (Q-axis) at the point (0, 200).
With these two points, you can draw a straight line connecting them to graph the demand curve Q = 200 - 4p and also label the points (160, $10), (156, $11), and (164, $9) to depict the specific quantities demanded at those prices.