A
x y
1 1
2 4
3 9
4 16
c
x y
1 4
2 2
3 4/3
4 1
b
x y
1 1/2
2 1
3 3/2
4 2
d
x y
1 3
2 5
3 7
4 9

the tables show four relationships between x and y. in which table is there a negative rate of change?
a) a
b) b
c) c
d) d

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.