The table shows how much Fanny saves daily. For each subsequent day, she saves $11 more than the previous day.
- How much will Fanny save on Day 6?
- On which day will Fanny save $76?
- How much savings will Fanny have in total by the day found in part (b)?
(a)
Pattern for the amount saved
Day 1: 1 x 11 + 10 = $21
Day 2: 2 x 11 + 10 = $32
Day 3: 3 x 11 + 10 = $43
Day 4: 4 x 11 + 10 = $54
Formula
Amount saved = Day Number x 11 + 10
Amount saved on Day 6
= 6 x 11 + 10
= $76
(b)
Number of days that Fanny takes to save $76
= (76 - 10) ÷ 11
= 66 ÷ 11
= 6
(c)
Total savings that Fanny saves by Day 6
= 21 + 32 + ... + 65 + 76
= (21 + 76) x (6 ÷ 2)
= 97 x 3
= $291
Answer(s): (a) $76; (b) 6; (c) $291
