Adam saves $2 in the 1st week and $4 in the 2nd week.
Each week, he saves $2 more than the week before.
- How much money does he save in the 5th week?
- In which week does he save $38?
(a)
Amount that Adam saves on Week 1: $2
Amount that Adam saves on Week 2: $4 = 2 + 2 = 2 + (2 x 1)
Amount that Adam saves on Week 3: $6 = 2 + 2 + 2 = 2 + (2 x 2)
Amount that Adam saves on a certain week = 2 +(2 x (Week number - 1))
Amount that Adam saves on Week 5
= 2 + 2 × (5 - 1)
= 2 + 2 × 4
= 2 + 8
= $10
(b)
2 + 2 x (Week number - 1) = 38
2 x (Week number - 2) = 38 - 2
2 x (Week number - 2) = 36
Week number - 1 = 36 ÷ 2
Week number - 1 = 18
Week number = 18 + 1
Week number = 19
Answer(s): (a) $10; (b) 19