Francisco has a cylindrical barrel 3 feet tall that he uses to collect rainwater. The barrel is not empty when rain begins to fall at a steady rate. Francisco checks the level 2.5 hours after the rain begins falling and finds that the water level in the barrel is 31.5 inches. He checks again 2.5 hours after his first check and finds that the water level is 32.5 inches. By how many inches does the water level increase for each additional hour of rainfall?

0.4 inches per hour

Step-by-step explanation:

2.5 hrs = 31.5 in

5 hrs = 32.5

that's 1 inch in 2.5 hours

or

1/2.5 = 0.4 inches per hour

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.