Answer:
- k = 30; y = 30/x
- y = 9; y = 36/x
- x = 5/2; k = 50
- y = 2; k = 24
Step-by-step explanation:
When we say "y varies inversely as x", we mean that y is proportional to the inverse of x: y = k·(1/x). This relation is usually written ...
y = k/x
It can be solved for the other values:
xy = k . . . . multiply by x
x = k/y . . . divide by y
If you are given the equation, the value of k can be read directly from it: it is the constant in the numerator.
__
a)
k = xy = 5·6 = 30; the equation is y = 30/x
b)
y = k/x = 36/4 = 9; the equation is y = 36/x
c)
k = 50 (read from the equation); x = k/y = 50/20 = 5/2
d)
k = 24 (read from the equation); y = k/x = 24/12 = 2
