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Answer:
Ratio of x-coordinates:
Ration of y-coordinates:
Step-by-step explanation:
The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.
Answer:
E = -2. The demand is going down by 2% per 1% increase in price at that price level.
The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5
Step-by-step explanation:
The overall demand formula: Q = aP + b
Q = 990 - 22P
<u>Demand elasticity:</u>
At P = $30, the Q = 990 - 22×30 = 330. a = = -22
The formula for demand elasticity: E = ×
Demand elasticity at $30: E = -22 × = -2
So, The demand will be going down by 2% if 1% increase in price.
<u>Revenue:</u>
R = P×Q = P×(990 - 22P) = -22P² - 990P
R' = -44P - 990. The revenue is maximum when R' = 0
⇔0 = -44P - 990 ⇔ P = $22.5
At the P = $22.5, the Q = 990 - 22×22.5 = 495.
The maximum revenue = $22.5×495 = $11,137.5