SOLUTION: Suppose z varies directly as x and inversely as the square of y. When x = 35 and y = 7, the value of z is 50. Choose the function that models the relationship and z when x = 5 and

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Question 187547: Suppose z varies directly as x and inversely as the square of y. When x = 35 and y = 7, the value of z is 50. Choose the function that models the relationship and z when x = 5 and y = 10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
: Suppose z varies directly as x and inversely as the square of y.
z = %28kx%29%2Fy%5E2
:
When x = 35 and y = 7, the value of z is 50.
Find k using the above values
%28kx%29%2Fy%5E2 = z
%2835k%29%2F7%5E2 = 50
k%2F49 = 50%2F35
k%2F49 = 10%2F7
k = 10%2F7 * 49
k = 10 * 7
k = 70
Choose the function that models the relationship and z when x = 5 and y = 10
:
z = %2870x%29%2Fy%5E2 is the function
z = %2870%2A5%29%2F10%5E2
z = 350%2F100
z = 3.5