Which real-world scenario is true?(1 point)

Responses

You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete your lessons in 7 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete your lessons in 7 more days.

You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 4 more days.
You need to complete 15 math lessons. If you complete 4 Start Fraction 1 over 2 End Fraction math lessons today and 3 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 4 more days.

You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 3 more days.

You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 4 Start Fraction 1 over 2 End Fraction math lessons today and 3 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 3 more days.

9 answers

Let's analyze each scenario one by one.

  1. Scenario 1: Complete \( \frac{3}{12} \) lessons today and \( \frac{4}{12} \) lessons per day for 7 days:

    • Total completed today: \( \frac{3}{12} = 0.25 \)
    • Total lessons over 7 days: \( 7 \times \frac{4}{12} = \frac{28}{12} \approx 2.33 \)
    • Total so far: \( 0.25 + 2.33 = 2.58 \) (not enough)
  2. Scenario 2: Complete \( 4.5 \) lessons today and \( 4.5 \) lessons per day for 7 days:

    • Total completed today: \( 4.5 \)
    • Total lessons over 7 days: \( 7 \times 4.5 = 31.5 \)
    • Total so far: \( 4.5 + 31.5 = 36 \) (too many)
  3. Scenario 3: Complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day for 4 days:

    • Total completed today: \( 4.5 \)
    • Total lessons over 4 days: \( 4 \times 3.5 = 14 \)
    • Total so far: \( 4.5 + 14 = 18.5 \) (too many)
  4. Scenario 4: Complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day for 4 days:

    • This is a repeat of Scenario 3.
  5. Scenario 5: Complete \( \frac{3}{12} \) lessons today and \( \frac{4}{12} \) lessons per day for 3 days:

    • Total completed today: \( \frac{3}{12} = 0.25 \)
    • Total lessons over 3 days: \( 3 \times \frac{4}{12} = 1 \)
    • Total so far: \( 0.25 + 1 = 1.25 \) (not enough)
  6. Scenario 6: Complete \( 3.5 \) lessons today and \( 4.5 \) lessons per day for 3 days:

    • Total completed today: \( 3.5 \)
    • Total lessons over 3 days: \( 3 \times 4.5 = 13.5 \)
    • Total so far: \( 3.5 + 13.5 = 17 \) (too many)
  7. Scenario 7: Complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day for 3 days:

    • Total completed today: \( 4.5 \)
    • Total lessons over 3 days: \( 3 \times 3.5 = 10.5 \)
    • Total so far: \( 4.5 + 10.5 = 15 \) (just right!)
  8. Scenario 8: Complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day for 3 days:

    • This is a repeat of Scenario 7.

The only valid scenario is Scenario 7 which states, "You need to complete 15 math lessons. If you complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day after that, you can complete the lessons in 3 more days."

Which real-world scenario is true?(1 point)

Responses

You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete your lessons in 7 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete your lessons in 7 more days

.

You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 4 more days.
You need to complete 15 math lessons. If you complete 4 Start Fraction 1 over 2 End Fraction math lessons today and 3 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 4 more days.

You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 3 more days

.

You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 4 Start Fraction 1 over 2 End Fraction math lessons today and 3 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 3 more days.

Let’s go through each of the scenarios to determine which one is true. We will calculate the total lessons completed based on the details provided.

1. First set of scenarios

  1. Scenario 1: Complete 312 lessons today and 412 lessons per day for 7 days:

    • Lessons completed today: \(312\)
    • Lessons in 7 days: \(412 \times 7 = 2884\)
    • Total: \(312 + 2884 = 3196\)
    • This is more than 15, so false.
  2. Scenario 2: Complete \(3\frac{1}{2} = 3.5\) lessons today and \(4\frac{1}{2} = 4.5\) lessons per day for 7 days:

    • Lessons completed today: \(3.5\)
    • Lessons in 7 days: \(4.5 \times 7 = 31.5\)
    • Total: \(3.5 + 31.5 = 35\)
    • This is also more than 15, so false.

2. Second set of scenarios

  1. Scenario 3: Complete \(4\frac{1}{2} = 4.5\) lessons today and \(3\frac{1}{2} = 3.5\) lessons per day for 4 days:

    • Lessons completed today: \(4.5\)
    • Lessons in 4 days: \(3.5 \times 4 = 14\)
    • Total: \(4.5 + 14 = 18.5\)
    • More than 15, so false.
  2. Scenario 4: Complete \(4\frac{1}{2} = 4.5\) lessons today and \(3\frac{1}{2} = 3.5\) lessons per day for 4 days:

    • This is a repeat of Scenario 3, thus the same conclusion applies.
    • False.

3. Third set of scenarios

  1. Scenario 5: Complete \(312\) lessons today and \(412\) lessons per day for 3 days:

    • Lessons completed today: \(312\)
    • Lessons in 3 days: \(412 \times 3 = 1236\)
    • Total: \(312 + 1236 = 1548\)
    • More than 15, so false.
  2. Scenario 6: Complete \(3\frac{1}{2} = 3.5\) lessons today and \(4\frac{1}{2} = 4.5\) lessons per day for 3 days:

    • Lessons completed today: \(3.5\)
    • Lessons in 3 days: \(4.5 \times 3 = 13.5\)
    • Total: \(3.5 + 13.5 = 17\)
    • More than 15, so false.

4. Fourth set of scenarios

  1. Scenario 7: Complete \(4\frac{1}{2} = 4.5\) lessons today and \(3\frac{1}{2} = 3.5\) lessons per day for 3 days:

    • Lessons completed today: \(4.5\)
    • Lessons in 3 days: \(3.5 \times 3 = 10.5\)
    • Total: \(4.5 + 10.5 = 15\)
    • This is exactly 15, so this one is true.
  2. Scenario 8: Complete \(4\frac{1}{2} = 4.5\) lessons today and \(3\frac{1}{2} = 3.5\) lessons per day for 3 days:

    • This is a repeat of Scenario 7, thus the same conclusion applies.
    • True.

Conclusion

The true scenarios are Scenario 7 and Scenario 8, both indicating that if you complete \(4\frac{1}{2}\) lessons today and \(3\frac{1}{2}\) lessons per day for 3 days, you will complete all 15 lessons. Thus, either response referring to this situation is correct.

ITS ONLY 4 SENERIOS

Apologies for the misunderstanding. Let's focus on selecting the true scenario based on the provided options, which seem to be structured into four sets.

Given Scenarios:

  1. Scenario A: You need to complete 15 math lessons. If you complete 312 math lessons today and 412 lessons per day after that, you can complete your lessons in 7 more days.

  2. Scenario B: You need to complete 15 math lessons. If you complete \(3 \frac{1}{2}\) math lessons today and \(4 \frac{1}{2}\) lessons per day after that, you can complete your lessons in 7 more days.

  3. Scenario C: You need to complete 15 math lessons. If you complete \(4 \frac{1}{2}\) math lessons today and \(3 \frac{1}{2}\) lessons per day after that, you can complete the lessons in 4 more days.

  4. Scenario D: You need to complete 15 math lessons. If you complete \(4 \frac{1}{2}\) math lessons today and \(3 \frac{1}{2}\) lessons per day after that, you can complete the lessons in 3 more days.

Let's evaluate each scenario:

  1. Scenario A:

    • Lessons today: 312 (which seems to be a typo/error)
    • Lessons in 7 days: 412 * 7 = 2884
    • Total = 312 + 2884 = 3196 (definitely more than 15)
    • Conclusion: False.
  2. Scenario B:

    • Lessons today: \(3.5\) lessons
    • Lessons for 7 days: \(4.5 \times 7 = 31.5\)
    • Total = \(3.5 + 31.5 = 35\) (more than 15)
    • Conclusion: False.
  3. Scenario C:

    • Lessons today: \(4.5\) lessons
    • Lessons in 4 days: \(3.5 \times 4 = 14\)
    • Total = \(4.5 + 14 = 18.5\) (more than 15)
    • Conclusion: False.
  4. Scenario D:

    • Lessons today: \(4.5\) lessons
    • Lessons in 3 days: \(3.5 \times 3 = 10.5\)
    • Total = \(4.5 + 10.5 = 15.0\) (exactly 15)
    • Conclusion: True.

Final Answer:

Scenario D is true. You need to complete 15 math lessons, and if you complete \(4 \frac{1}{2}\) lessons today and \(3 \frac{1}{2}\) lessons per day after that, you will complete the lessons in 3 more days.

Which real-world scenario is true? (1 point) You need to complete 15 math lessons. If you complete 3 1/2 math lessons today and 4 1/2 lessons per day after that, you can complete your lessons in 7 more days. You need to complete 15 math lessons. If you complete 3 1/2 math lessons today and 4 1/2 lessons per day after that, you can complete the lessons in 3 more days. You need to complete 15 math lessons. If you complete 4 1/2 math lessons today and 3 1/2 lessons per day after that, you can complete the lessons in 4 more days. You need to complete 15 math lessons. If you complete 4 1/2 math lessons today and 3 1/2 lessons per day after that. you can complete the lessons in 3 more days.

Let's evaluate each of the scenarios to identify which one is true regarding the completion of 15 math lessons.

Scenarios to Analyze

  1. Scenario 1: Complete \(3 \frac{1}{2}\) lessons today and \(4 \frac{1}{2}\) lessons per day for 7 more days.
  2. Scenario 2: Complete \(3 \frac{1}{2}\) lessons today and \(4 \frac{1}{2}\) lessons per day for 3 more days.
  3. Scenario 3: Complete \(4 \frac{1}{2}\) lessons today and \(3 \frac{1}{2}\) lessons per day for 4 more days.
  4. Scenario 4: Complete \(4 \frac{1}{2}\) lessons today and \(3 \frac{1}{2}\) lessons per day for 3 more days.

Evaluations

  1. Scenario 1:

    • Lessons today: \(3.5\)
    • Lessons in 7 days: \(4.5 \times 7 = 31.5\)
    • Total lessons completed: \(3.5 + 31.5 = 35\)
    • Conclusion: More than 15 (False).
  2. Scenario 2:

    • Lessons today: \(3.5\)
    • Lessons in 3 days: \(4.5 \times 3 = 13.5\)
    • Total lessons completed: \(3.5 + 13.5 = 17\)
    • Conclusion: More than 15 (False).
  3. Scenario 3:

    • Lessons today: \(4.5\)
    • Lessons in 4 days: \(3.5 \times 4 = 14\)
    • Total lessons completed: \(4.5 + 14 = 18.5\)
    • Conclusion: More than 15 (False).
  4. Scenario 4:

    • Lessons today: \(4.5\)
    • Lessons in 3 days: \(3.5 \times 3 = 10.5\)
    • Total lessons completed: \(4.5 + 10.5 = 15\)
    • Conclusion: Exactly 15 (True).

Final Answer

Scenario 4 is the true scenario: You need to complete 15 math lessons. If you complete \(4 \frac{1}{2}\) math lessons today and \(3 \frac{1}{2}\) lessons per day after that, you can complete the lessons in 3 more days.

can you do the math for it in fraction form

Let's evaluate each scenario using fractions instead of decimals. Here are the scenarios again, converted into fraction form:

Scenarios to Analyze

  1. Scenario 1: Complete \(3 \frac{1}{2} = \frac{7}{2}\) lessons today and \(4 \frac{1}{2} = \frac{9}{2}\) lessons per day for 7 more days.
  2. Scenario 2: Complete \(3 \frac{1}{2} = \frac{7}{2}\) lessons today and \(4 \frac{1}{2} = \frac{9}{2}\) lessons per day for 3 more days.
  3. Scenario 3: Complete \(4 \frac{1}{2} = \frac{9}{2}\) lessons today and \(3 \frac{1}{2} = \frac{7}{2}\) lessons per day for 4 more days.
  4. Scenario 4: Complete \(4 \frac{1}{2} = \frac{9}{2}\) lessons today and \(3 \frac{1}{2} = \frac{7}{2}\) lessons per day for 3 more days.

Evaluations in Fraction Form

  1. Scenario 1:

    • Lessons today: \( \frac{7}{2} \)
    • Lessons in 7 days: \( \frac{9}{2} \times 7 = \frac{9 \times 7}{2} = \frac{63}{2} \)
    • Total lessons completed: \[ \frac{7}{2} + \frac{63}{2} = \frac{7 + 63}{2} = \frac{70}{2} = 35 \]
    • Conclusion: More than 15 (False).
  2. Scenario 2:

    • Lessons today: \( \frac{7}{2} \)
    • Lessons in 3 days: \( \frac{9}{2} \times 3 = \frac{9 \times 3}{2} = \frac{27}{2} \)
    • Total lessons completed: \[ \frac{7}{2} + \frac{27}{2} = \frac{7 + 27}{2} = \frac{34}{2} = 17 \]
    • Conclusion: More than 15 (False).
  3. Scenario 3:

    • Lessons today: \( \frac{9}{2} \)
    • Lessons in 4 days: \( \frac{7}{2} \times 4 = \frac{7 \times 4}{2} = \frac{28}{2} = 14 \)
    • Total lessons completed: \[ \frac{9}{2} + 14 = \frac{9}{2} + \frac{28}{2} = \frac{9 + 28}{2} = \frac{37}{2} = 18.5 \]
    • Conclusion: More than 15 (False).
  4. Scenario 4:

    • Lessons today: \( \frac{9}{2} \)
    • Lessons in 3 days: \( \frac{7}{2} \times 3 = \frac{7 \times 3}{2} = \frac{21}{2} \)
    • Total lessons completed: \[ \frac{9}{2} + \frac{21}{2} = \frac{9 + 21}{2} = \frac{30}{2} = 15 \]
    • Conclusion: Exactly 15 (True).

Final Answer

Scenario 4 is the true scenario: You need to complete 15 math lessons. If you complete \(4 \frac{1}{2}\) (or \(\frac{9}{2}\)) math lessons today and \(3 \frac{1}{2}\) (or \(\frac{7}{2}\)) lessons per day after that, you can complete the lessons in 3 more days.