7.
k′l′m′n′ is a dilation image of klmn. which is the correct description of the dilation?

a) an enlargement with scale factor 1/2

b) an enlargement with scale factor 2

c) a reduction with scale factor 1/2

d) a reduction with scale factor 2

 The answer is (B) an enlargement with scale factor 2.

Step-by-step explanation:  The quadrilateral K'L'M'N' is the dilation image of the quadrilateral KLMN. We are to select the correct description of the dilation from given four options.

We can record from the given graph that in quadrilateral KLMN, the length of one side is

KN = 1.5 units,

and in quadrilateral K'L'M'N', the length of the corresponding side is

K'N' = 3 units.

Therefore, the scale factor will be

So, there will be an enlargement with a scale factor 2.

Thus, (B) is the correct option.

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.