If y varies inversely with x, find the constant of variation with x = –40 and
y = 4.
+10
–10
+160
–160
The formula for inverse variation is y = k/x, where k is the constant of variation.
Given that x = -40 and y = 4, we can plug these values into the formula:
4 = k / (-40)
Multiplying both sides by -40:
-160 = k
Therefore, the constant of variation is -160.
Correct answer: -160