Answer:
a. D'(p) = -10p - 6
b. There is a decrease of 96 units of demand for each dollar increase
Step-by-step explanation:
The demand function is:
(a) The derivate of the demand function with respect to price gives us the rate of change of demand:
(b) When p = $9, the rate of change of demand is:
This means that, when p = $9, there is a decrease of 96 units of demand for each dollar increase.
Answer:
A.) w² + 3w in²
B.) 28 in²
Step-by-step explanation:
A.)
Let w = width and l = length.
The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.
A(rectangle) = lw = (w + 3) · w = w² + 3w
B.)
Use the polynomial we previously found to find the area.
A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²
Model:
