To determine which real-world scenario is true, let's break down the problem mathematically for each option given:
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Option 1: Complete 3.12 lessons today and 4.12 lessons per day for 7 days.
Total lessons completed: \(3.12 + 4.12 \times 7 = 3.12 + 28.84 = 31.96\) (False, as it's over 15). -
Option 2: Complete 3.5 lessons today and 4.5 lessons per day for 7 days.
Total lessons completed: \(3.5 + 4.5 \times 7 = 3.5 + 31.5 = 35\) (False, as it's over 15). -
Option 3: Complete 4.12 lessons today and 3.12 lessons per day for 4 days.
Total lessons completed: \(4.12 + 3.12 \times 4 = 4.12 + 12.48 = 16.6\) (False, as it's over 15). -
Option 4: Complete 4.5 lessons today and 3.5 lessons per day for 4 days.
Total lessons completed: \(4.5 + 3.5 \times 4 = 4.5 + 14 = 18.5\) (False, as it's over 15). -
Option 5: Complete 4.12 lessons today and 3.12 lessons per day for 3 days.
Total lessons completed: \(4.12 + 3.12 \times 3 = 4.12 + 9.36 = 13.48\) (False, as it's less than 15). -
Option 6: Complete 4.5 lessons today and 3.5 lessons per day for 3 days.
Total lessons completed: \(4.5 + 3.5 \times 3 = 4.5 + 10.5 = 15\) (True). -
Option 7: Complete 3.12 lessons today and 4.5 lessons per day for 3 days.
Total lessons completed: \(3.12 + 4.5 \times 3 = 3.12 + 13.5 = 16.62\) (False, as it's over 15). -
Option 8: Complete 3.5 lessons today and 4.5 lessons per day for 3 days.
Total lessons completed: \(3.5 + 4.5 \times 3 = 3.5 + 13.5 = 17\) (False, as it's over 15).
Therefore, the true scenario is Option 6: You need to complete 15 math lessons. If you complete 4.5 math lessons today and 3.5 lessons per day after that, you can complete the lessons in 3 more days.
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