Part A:
For Kim:
- Earned: B. 50 (first day earnings)
- Additional earning per day: C. 75
The complete statement for Kim:
- Start at B 50 and add C 75 for each day after the first day.
For Kate:
- Earned: A. 35 (first day earnings)
- Additional earning per day: C. 75
The complete statement for Kate:
- Start at A 35 and add C 75 for each day after the first day.
Part B: To calculate the total earnings for each after 4 days, we use the following:
Kim's Earnings:
- Day 1: $50
- Day 2: $50 + $75 = $125
- Day 3: $125 + $75 = $200
- Day 4: $200 + $75 = $275
Total after 4 days: D. 275
Kate's Earnings:
- Day 1: $35
- Day 2: $35 + $75 = $110
- Day 3: $110 + $75 = $185
- Day 4: $185 + $75 = $260
Total after 4 days: C. 260
Lilit and Sergio:
| Day | Lilit's Candles | Sergio's Candles | |-----|------------------|------------------| | 1 | 8 | 10 | | 2 | 8 + 3 = 11 | 10 + 3 = 13 | | 3 | 11 + 3 = 14 | 13 + 3 = 16 | | 4 | 14 + 3 = 17 | 16 + 3 = 19 |
The completed table:
- Day 1: Lilit = 8 and Sergio = 10
- Day 2: Lilit = 11 and Sergio = 13
- Day 3: Lilit = 14 and Sergio = 16
- Day 4: Lilit = 17 and Sergio = 19
Ordered pairs for the next two days:
- Day 2: (11, 13)
- Day 3: (14, 16)
- Day 4: (17, 19)
True statements: A. The total number of candles that Lilit has sold is always three less than the total number Sergio has sold. (True) B. The total number of candles that Sergio has sold is always 2 more than the total number Lilit has sold. (False) C. Both students sell 8 candles each day. (False) D. In a few more days the number of candles that Lilit sold will equal the number that Sergio has sold. (False)
So, the true statement is A.