Test: Variation - 2 - JAMB MCQ

Since y varies directly with x, we can use the formula y = kx, where k is the constant of variation. To find k, we can use the given values: 10 = k * 5, which gives us k = 2. Now, we can substitute x = 8 into the formula to find y: y = 2 * 8 = 16.

If y varies inversely with the square of x, we can use the formula y = k/x², where k is the constant of variation. To find k, we can use the given values: 6 = k/(2²), which gives us k = 24. Now, we can substitute x = 4 into the formula to find y: y = 24/(4²) = 3.

Since a varies directly with b and inversely with c, we can use the formula a = (k * b) / c, where k is the constant of variation. To find k, we can use the given values: 10 = (k * 4) / 2, which gives us k = 5. Now, we can substitute b = 8 and c = 4 into the formula to find a: a = (5 * 8) / 4 = 20.

Since y varies directly as the square of x, we can use the formula y = kx², where k is the constant of variation. To find k, we can use the given values: 25 = k * 5², which gives us k = 1. Now, we can substitute x = 10 into the formula to find y: y = 1 * 10² = 100.

Since y varies directly as the cube of x, we can use the formula y = kx³, where k is the constant of variation. To find k, we can use the given values: 64 = k * 2³, which gives us k = 4. Now, we can substitute x = 3 into the formula to find y: y = 4 * 3³ = 72.

If y varies inversely with x, we can use the formula y = k/x, where k is the constant of variation. To find k, we can use the given values: 15 = k/5, which gives us k = 75. Now, we can substitute x = 10 into the formula to find y: y = 75/10 = 7.5.

Since y varies directly as the square root of x, we can use the formula y = k√x, where k is the constant of variation. To find k, we can use the given values: 4 = k√16, which gives us k = 1. Now, we can substitute x = 9 into the formula to find y: y = 1√9 = 3.

Since y varies directly as the cube root of x, we can use the formula y = k∛x, where k is the constant of variation. To find k, we can use the given values: 10 = k∛27, which gives us k = 10/3. Now, we can substitute x = 64 into the formula to find y: y = (10/3)∛64 ≈ 15.

If y varies inversely with the cube root of x, we can use the formula y = k/∛x, where k is the constant of variation. To find k, we can use the given values: 20 = k/∛8, which gives us k = 20∛8. Now, we can substitute x = 27 into the formula to find y: y = (20∛8)/∛27 ≈ 10.

Since y varies directly with x and inversely with z, we can use the formula y = (k * x) / z, where k is the constant of variation. To find k, we can use the given values: 12 = (k * 4) / 3, which gives us k = 9. Now, we can substitute x = 8 and z = 6 into the formula to find y: y = (9 * 8) / 6 = 12.