3.2 It takes 6 painters \( 41 / 2 \) hours to paint these classrooms 3.2.1 Calculate how long 3 painters will take to complete the same job. 3.2 .2 Is this direet or indirect proportion? 3.2.3 Givo a reason for your answer.

We start by noting that if 6 painters take 4½ hours to complete the job, then the total work can be expressed as:   Total work = Number of painters × Time = 6 painters × 4.5 hours = 27 painter‐hours. 3.2.1 For 3 painters, the time required (T) can be found by setting:   3 painters × T = 27 painter‐hours Solve for T:   T = 27 ÷ 3 = 9 hours So, 3 painters will take 9 hours to complete the same job. 3.2.2 The relationship between the number of painters and the time taken is an inverse (or indirect) proportion. 3.2.3 This is because as the number of painters increases, the time required to complete the work decreases proportionally, and vice versa. For example, if you double the number of painters, the time is halved, which is the characteristic behavior of an inverse proportional relationship.