Final answer:
To find the value of y when x equals 6 in an inverse variation, we can use the formula y = k/x. By substituting the given values and solving for k, we find that k equals 64. Substituting this value into the formula, we find that y equals 10.67 when x equals 6.
Step-by-step explanation:
To find the value of y when x equals 6, we can use the inverse variation formula: y = k/x, where k is a constant.
To solve for k, we can use the given information: when x equals 4, y equals 16.
Substituting these values into the formula, we get 16 = k/4. Multiplying both sides by 4, we get 64 = k.
Now we can find y when x equals 6 by substituting the values into the formula: y = 64/6. Simplifying, we get y = 10.67.