VARIATION
1 y varies directly with x. If y = 6 when x = 3, find y when x = 2. substitute y = 6 and x = 3 into the formula solve to find k put k = 2 into the formula y = kx This is the formula connecting y and x.
2 y varies directly with x. If y = 15 when x = 2.5, find x when y = 3. substitute y = 15 and x = 2.5 into the formula solve to find k put k = 6 into the formula y = kx This is the formula connecting y and x.
3 y varies directly with the square of x. If y = 48 when x = 4, find x when y = 12. substitute y = 48 and x = 4 into the formula solve to find k put k = 3 into the formula y = kx2 This is the formula connecting y and x.
4 y varies inversely with x. If y = 2 when x = 3, find y when x = 5. substitute y = 2 and x = 3 into the formula solve to find k put k = 6 into the formula This is the formula connecting y and x.
5 y varies inversely with the square root of x. If y = 6 when x = 4, find y when x = 36. substitute y = 6 and x = 4 into the formula solve to find k put k = 12 into the formula This is the formula connecting y and x.