Consider the point
that undergoes a series of two transformations: a dilation of scale factor 4 folowed by a
reflection about the horizontal axis.
a. what matrix produces the dilation of scale factor 4? what is the cordinate of the point after the dilation?
b. what matrix produces the reflection about the horizontal axis? what is the cordinate of the point after the
reflection?
c. could we have produced both the dilation and the reflection using a single matrix? if so, what matrix would
both dilate by a scale factor of 4 and produce a reflection about the horizontal axis? show that the matrix you
came up with combines these two matrices

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

y=x+9

?

step-by-step explanation:

answer: your answer is a