If y varies inversely as x, and y = 12 when x = 6, what is K, the variation constant?
A. 1⁄3 C. 72
B. 2 D. 144
well, xy=k, so
12*6 = k
y=k/x
y=12,x=6
12=k/6
k=12*6
k=72
y varies inversely as x. y=12 when x=7. Find y when x=6.
If all men had identical body types, their weight would vary directly as the cube of their height. The tallest person reached a record height of 8 feet 11 inches (107 inches) before his death at age 22. If a man who is 6 feet 10 inches tall (82 inches) with the same body type as the tallest person weighs 190 pounds, what was the tallest person's weight shortly before his death?
To find the variation constant, K, we can use the formula for inverse variation:
y = K/x
Given that y = 12 when x = 6, we can substitute these values into the inverse variation formula:
12 = K/6
To solve for K, we can multiply both sides of the equation by 6:
72 = K
Therefore, the variation constant, K, is equal to 72. So the correct answer is option C.