An art dealer purchased a painting 5 years ago for $2,000. Now, the value of the painting has
increased by 75%. What is the value of the painting now?

3500

Step-by-step explanation:

if the painting has increased by 75% then it will increase by $1500 because 25% of 2000 is 500 and 500 times 3 (because 75 is 25 times 3)is 1500. Then you add 1500 to 2000 to get 3500

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.