Part A Kim and Kate sell gym memberships Kim earned $50 her first day of work in $75 each day after that Kate earned $35 her first day of work and $75 each day after that find the pattern for calculating the amount that Kim and Kate each earned use the drop-down menu to complete the statements for Kim start at A 35 B 50 C 75 D 125 an add A 35 B 50 C 75 D 125 for each day after the first day for Kate start at A 35 B 50 C 75 D 110 and add A 35 B 50 C 75 D 110 for each day after the first day Part B How much will each have earned after 4 days drag numbers to complete descendants numbers may be used once more than once or not at all Kim will have earned A 180 B 225 C 260 D 275 E 330 F 375 and Kate will have earned A 180 B 225 C 260 D 275 E 330 F 375 after 4 daysLilit and sergio sold candles for a class trip on the first day Lilit sold eight candles and sergio sold 10 candles for the next 3 days both sold another three candles each day drag numbers to complete the table to show the numbers of each person sold after each day each number may be used once more than once or not at all day 1 2 and 3 Lilit 8 A 18 B 15 C 11 D 16 E 12 14 and A 18 B 15 C 11 D 16 E 12 F 17 Sergio 10 13 A 18 B 15 C 11 D 16 E 12 F 17 and 19Select all the ordered pairs that represent the amount of candles lilit and Sergio sold over the next 2 days if they continue to sell three candles each day which of the following statements is true A The total number of candles that lilit has sold is always three less than the total number Sergio has B the total number of candles that Sergio has sold is always 2 more then the total number Lilit has sold C both students sell 8 candles each day D in a few more days the number of candles that Lilit I sold will equal the number that Sergio has sold

1 answer

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.