Adam saves $2 in the 1st week and $5 in the 2nd week.
Each week, he saves $3 more than the week before.
- How much money does he save in the 10th week?
- In which week does he save $47?
(a)
Amount that Adam saves on Week 1: $2
Amount that Adam saves on Week 2: $5 = 2 + 3 = 2 + (3 x 1)
Amount that Adam saves on Week 3: $8 = 2 + 3 + 3 = 2 + (3 x 2)
Amount that Adam saves on a certain week = 2 +(3 x (Week number - 1))
Amount that Adam saves on Week 10
= 2 + 3 × (10 - 1)
= 2 + 3 × 9
= 2 + 27
= $29
(b)
2 + 3 x (Week number - 1) = 47
3 x (Week number - 2) = 47 - 2
3 x (Week number - 2) = 45
Week number - 1 = 45 ÷ 3
Week number - 1 = 15
Week number = 15 + 1
Week number = 16
Answer(s): (a) $29; (b) 16