Consider the following "table" of functional values: (-1,-1.32), (-0.2,-6.6), (1.1,1.2), (2.2,0.6). Does the function vary directly, vary inversely, or neither? If it varies, what is the constant of variation?
Varies directly; k = 1.32
Neither, since xy is not a constant
Neither, since y/x is not a constant
Varies inversely; k = 13.2
Varies inversely; k = 1.32
Consider the following "table" of functional values: (-1.5,-6), (1,4), (2.1,8.4), (3.6,14.4). Does the function vary directly, vary inversely, or neither? If it varies, what is the constant of variation?
Varies inversely: k = 4
Varies directly: k = 1/4
Varies inversely: k = 1/4
Neither
Varies directly: k = 4
The variables x and y vary inversely. Write the function that models this inverse variation if x = 7 when y = 42.
y = 6 / x
y = 294 / x
y = 6x
x = 294y
y = 294x