Question

T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5

Answer 1

`{ \bf{T \: \alpha \: {x}^(2) }} \\ { \tt{T = k {x}^(2) }} \\ { \tt{36 = (k * {3}^(2)) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^(2) }} \\ { \tt{T = (4 * {5}^(2)) }} \\ { \bf{T = 100}}`