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

Question

Responses

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 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 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.

Answer 1

To determine which scenario is true, we need to calculate the total number of lessons completed based on the given initial lessons and subsequent daily lessons for the specified number of days.

Let's analyze each scenario step by step:

1. Scenario 1: Complete \( 4.12 \) lessons today and \( 3.12 \) lessons per day after that for 4 more days.

   • Total lessons completed = \( 4.12 + (3.12 \times 4) = 4.12 + 12.48 = 16.6 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

2. Scenario 2: Complete \( 4.5 \) lessons today and \( 3.5 \) lessons per day after that for 4 more days.

   • Total lessons completed = \( 4.5 + (3.5 \times 4) = 4.5 + 14 = 18.5 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

3. Scenario 3: Complete \( 3.12 \) lessons today and \( 4.12 \) lessons per day after that for 7 more days.

   • Total lessons completed = \( 3.12 + (4.12 \times 7) = 3.12 + 28.84 = 31.96 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

4. Scenario 4: Complete \( 3.5 \) lessons today and \( 4.5 \) lessons per day after that for 7 more days.

   • Total lessons completed = \( 3.5 + (4.5 \times 7) = 3.5 + 31.5 = 35 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

5. Scenario 5: Complete \( 3.12 \) lessons today and \( 4.12 \) lessons per day after that for 3 more days.

   • Total lessons completed = \( 3.12 + (4.12 \times 3) = 3.12 + 12.36 = 15.48 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

6. Scenario 6: Complete \( 3.5 \) lessons today and \( 4.5 \) lessons per day after that for 3 more days.

   • Total lessons completed = \( 3.5 + (4.5 \times 3) = 3.5 + 13.5 = 17 \) lessons.
   • This exceeds 15 lessons, so this scenario is inconsistent.

7. Scenario 7: Complete \( 4.12 \) lessons today and \( 3.12 \) lessons per day after that for 3 more days.

   • Total lessons completed = \( 4.12 + (3.12 \times 3) = 4.12 + 9.36 = 13.48 \) lessons.
   • This is less than 15 lessons, so this scenario is inconsistent.

After evaluating all the scenarios presented, none seem to yield a consistent situation where exactly 15 lessons are completed. Each scenario either exceeds 15 lessons or doesn’t meet the minimum. Therefore, it appears there is a logical issue in the provided scenarios, or perhaps there's an error in the stated options.

In conclusion, based on calculations, none of the scenarios are true as they do not accurately solve for completing exactly 15 math lessons given the parameters.