This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Write the variation equation. The problem states that y varies inversely as x. This can be written as: y = (k)/(x) where k is the constant of proportionality. Step 2: Use the initial given information to find the constant k. We are given that y=1.5 when x=8. Substitute these values into the equation: 1.5 = (k)/(8) Multiply both sides by 8 to find k: k = 1.5 × 8 k = 12 Step 3: State the law connecting y and x. Substitute the value of k back into the variation equation from Step 1: y = (12)/(x) Step 4: Find x when y=6. Substitute y=6 into the law found in Step 3: 6 = (12)/(x) Multiply both sides by x: 6x = 12 Divide both sides by 6: x = (12)/(6) x = 2 Step 5: Find y when x=1.2. Substitute x=1.2 into the law found in Step 3: y = (12)/(1.2) y = 10 When y=6, x = 2. When x=1.2, y = 10. Drop the next question.