Final answer:
The student has completed approximately 43% of their homework, calculated by dividing the number of completed assignments (3) by the total number (7) and multiplying by 100.
Step-by-step explanation:
To calculate the percentage of homework the student has completed, start by setting up a fraction where the numerator is the amount of homework completed and the denominator is the total amount of homework. The student completed 3 pieces of homework out of 7.
The next step is to convert this fraction into a percentage. This is done by dividing the numerator by the denominator and then multiplying the result by 100:
Percentage of homework completed = (3 ÷ 7) × 100
Percentage of homework completed = 0.4286 × 100
Percentage of homework completed = 42.86%
Approximately, the student has completed 43% of their homework, which matches option C.