The height h, in inches, of the juice in the pitcher shown at the right is a function of the amount of juice j, in ounces, that has been poured out of the pitcher. write a function rule that represents this situation. what is the height of the juice after 47oz have been poured out?

The pitcher shown has a height of 10 inches and a volume of 64 oz. The pitcher has a shape of cylinder and the volume formula of cylinder is:

V = π r^2 h

So given volume and height, we can find for the radius:

64  = π r^2 (10)

r = 1.427

So for a 47 oz volume is poured out, what remains is:

V remain = 64 oz – 47 oz = 17 oz

So the height at a volume of 17 oz is:

17 = π (1.472)^2 h

h = 2.66 inches

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)