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What is the relationship between the total number of bottle caps Diego has collected after each month and the total number of bottle caps Carlos has collected over each month use the table to answer the question use the drop-down menu to show your answer The total number of bottle caps Diego has a collected is always A 2 times B 4 times C 21 more than D 105 more than The total number of bottle caps Carlos has collected numbers of bottle caps collected month 1 2 3 4 5 Carlos 7 14 21 28 35 Diego 28 56 84 112 140

1 answer

To determine the relationship between the total number of bottle caps Diego has collected and the total number of bottle caps Carlos has collected, we can analyze the data provided in the table.

Carlos's Total Bottle Caps by Month:

  • Month 1: 7
  • Month 2: 14
  • Month 3: 21
  • Month 4: 28
  • Month 5: 35

Diego's Total Bottle Caps by Month:

  • Month 1: 28
  • Month 2: 56
  • Month 3: 84
  • Month 4: 112
  • Month 5: 140

Now, let's examine the relationships:

  1. Diego vs. Carlos in Month 1:

    • Diego: 28
    • Carlos: 7
    • Difference: 28 - 7 = 21

  2. Diego vs. Carlos in Month 2:

    • Diego: 56
    • Carlos: 14
    • Difference: 56 - 14 = 42

  3. Diego vs. Carlos in Month 3:

    • Diego: 84
    • Carlos: 21
    • Difference: 84 - 21 = 63

  4. Diego vs. Carlos in Month 4:

    • Diego: 112
    • Carlos: 28
    • Difference: 112 - 28 = 84

  5. Diego vs. Carlos in Month 5:

    • Diego: 140
    • Carlos: 35
    • Difference: 140 - 35 = 105

Observing the differences, we can see that:

  • Diego's amount is consistently 4 times Carlos's amount.

Conclusion:

The total number of bottle caps Diego has collected is always B 4 times the total number of bottle caps Carlos has collected.