The table shows how much Elyse saves daily. For each subsequent day, she saves $4 more than the previous day.
- How much will Elyse save on Day 4?
- On which day will Elyse save $194?
- How much savings will Elyse have in total by the day found in part (b)?
(a)
Pattern for the amount saved
Day 1: 1 x 4 + 10 = $14
Day 2: 2 x 4 + 10 = $18
Day 3: 3 x 4 + 10 = $22
Day 4: 4 x 4 + 10 = $26
Formula
Amount saved = Day Number x 4 + 10
Amount saved on Day 4
= 4 x 4 + 10
= $26
(b)
Number of days that Elyse takes to save $194
= (194 - 10) ÷ 4
= 184 ÷ 4
= 46
(c)
Total savings that Elyse saves by Day 46
= 14 + 18 + ... + 190 + 194
= (14 + 194) x (46 ÷ 2)
= 208 x 23
= $4784
Answer(s): (a) $26; (b) 46; (c) $4784
