B. Solve for the value of the constant of variation k, then find the missing value. Show your solution below. (3 points each) 1.) z varies jointly as x and y, and z=60 when x=5 and y=6. Find x when z=72 and y=4. Solution:
2.) z varies jointly as x and y. If z=3 when x=3 and y=15, find z when x= 6 and y=9. Solution:
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Answer:
1. z varies jointly as x and y and z = 60 when x = 5 and y = 6.
a. Find z when x = 7 and y = 6
b. Find x when z= 72 and y = 4
c. Find y when z= 80 and x = 4
2. If r varies directly as s and inversely as the square of u, and r = 2 when s = 18 and u = 3, find ;
a. r when u = 3 and s= 27
b. s when u = 2 and r = 4
c. u when r = 1 and s = 36