We can use algebraic operations to rewrite expressions, including polynomial expressions. When we rewrite polynomial expressions, the representations look different but still represent the same expression. Where else have you seen this type of transformation—when something appears different, but its meaning remains the same?

Similar transformations to the application of algebraic operations to rewrite expressions that form representations that appear different from their parent expressions, can be seen in the following fields;

Geometry; Rigid transformations such as rotation, can transform a rectangle to appear to look like a kite

Physics; The heating of a liquid, can transform its physical state from liquid to gas, however, the gas formed by heating the liquid represent the same material chemically

Learn more about transformations here;

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step-by-step explanation:

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.