Given that g = a/b find the percentage decrease in the value of g when a decreases by 10% and b decreases by 20%

g increases by 12.5%

Step-by-step explanation:

When a decrease in value by 10%, we have;

a- (10/100 * a) = a- 0.1a = 0.9a

b decreasing by 20%; we have

b - (20/100 * b) = b-0.2b = 0.8b

so we have the new value of g as;

0.9a/0.8b = 1.125b

‘Now, the difference this has with b is;

1.125b-b = 0.125

In percentage, we have this as 0.125 * 100 = 12.5%

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.