Final answer:
If x and y vary inversely as each other and x=10 when y=6, the constant of variation can be determined by using the formula xy=k. By substituting the given values, we find that k=60. Substituting the values x=15 and k=60 into the formula, we can solve for y and find that y=4. Hence the correct answer is option B
Step-by-step explanation:
If x and y vary inversely as each other, and x=10 when y=6, we can determine the constant of variation by using the formula xy=k, where k is the constant. In this case, we can calculate the value of k by substituting the given values: (10)(6)=k.
Therefore, k=60. Now, to find y when x=15, we can use the formula xy=k and substitute the values: (15)(y)=60. Solving for y, we get y=4.
Hence the correct answer is option B