For questions one and two, a.)translate the wording into an equation, b.) input the appropriate values given to solve for k (the constant), c.) rewrite the new variation formula with the new k value. and d,) lastly, by using the new formula and provided information, solve for the indicated variable.

1. a.) y varies directly with x and inversely with w. b.) determine k if y = 50, x = 2 and w = 5, c) record the new formula with the k value d.) lastly, by using the new formula, find y given that x = 6 and w = 25.

2. a.) y varies jointly with the square root of x and the cube of w. b.) determine the k value if y = 48, x = 4 and w= 2. c.) record the new formula with the k value. d) lastly, by using the new formula, find y if x = 16 and w = 3.

Use the four step process to solve the word problem below (be sure to show your work).

3. The number of houses that can be served by a water pipe varies directly as the square of the diameter of the pipe. A water pipe that has a 10 - centimeter diameter can supply 50 houses. How many houses can be served by a pipe that has a 30 - centimeter diameter?

Show your work please