Algebra, STD2 EQ-Bank 26 \(F\) varies directly with \(m\) and \(F=14\) when \(m=3.5\). Find the value of \(m\) when \(F=50\). (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(m=12.5\) Show Worked Solution \(F \propto m \ \ \Rightarrow \ \ F=km\) \(\text{Given} \ \ F=14 \ \ \text{when} \ \ m=3.5:\) \(14=3.5k \ \ \Rightarrow \ \ k=4\) \(\text{When} \ \ F=50:\) \(50\) \(=4 \times m\) \(m\) \(=\dfrac{50}{4} = 12.5\)