How do the graphs of f(x)=x^3 and g(x)=(1/2 x)^3 relate?
A. G(x) is a horizontal stretch of f(x) by a factor of 2.
B. G(x) is a vertical stretch of f(x) by a factor of 8.
C. G(x) is a horizontal of f(x) by a factor of 1/2.
D. G(x) is a vertical stretch of f(x) by a factor of 1/2.

A. G(x) is a horizontal stretch of f(x) by a factor of 2.

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.