Answer:
p(x) = 38500 - 1500x.
Step-by-step explanation:
The average attendance was 25000 when the ticket price at $9. The average attendance rose to 28000 when the price lowered to $7.
Therefore, if the demand function p(x) where, x is the value of each tickets is linear then we have p(9) = 25000 and p(7) = 28000.
Hence, the demand function will be given as
⇒ p(x) - 28000 = 1500(7 - x)
⇒ p(x) = 28000 + 10500 - 1500x
⇒ p(x) = 38500 - 1500x. (Answer)
Answer:
The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis
Step-by-step explanation:
Let us write the vertices of Δ ABC
∵ Vertex A = (-2, -1)
∵ Vertex B = (0, 0)
∵ Vertex C = (1, -3)
Let us Write the vertices of Δ A'B'C'
∵ Vertex A' = (-4, 2)
∵ Vertex B' = (0, 0)
∵ Vertex C' = (2, 6)
Let us find the scale factor k between the x-coordinates of the points and their images.
∵ -4 = k (-2) ⇒ Divide both side by -2
∵ =
∴ 2 = k
∴ The scale factor of a dilation is 2
∵ The signs of the y-coordinates of the images are the opposite of
the signs of the y-coordinates of the points
∴ The triangle is reflected about the x-axis
∴ The set of transformations has been performed on triangle ABC
is dilation by a scale factor of 2 followed by reflection about the x-axis