Adam saves $4 in the 1st week and $6 in the 2nd week.
Each week, he saves $2 more than the week before.
- How much money does he save in the 8th week?
- In which week does he save $36?
(a)
Amount that Adam saves on Week 1: $4
Amount that Adam saves on Week 2: $6 = 4 + 2 = 4 + (2 x 1)
Amount that Adam saves on Week 3: $8 = 4 + 2 + 2 = 4 + (2 x 2)
Amount that Adam saves on a certain week = 4 +(2 x (Week number - 1))
Amount that Adam saves on Week 8
= 4 + 2 × (8 - 1)
= 4 + 2 × 7
= 4 + 14
= $18
(b)
4 + 2 x (Week number - 1) = 36
2 x (Week number - 4) = 36 - 4
2 x (Week number - 4) = 32
Week number - 1 = 32 ÷ 2
Week number - 1 = 16
Week number = 16 + 1
Week number = 17
Answer(s): (a) $18; (b) 17