Final answer:
To determine the number of tablets needed per day, convert the desired dose to micrograms and divide it by the dose supplied by each tablet: 500,000 µg / 75 µg = 6666.67 tablets.
Step-by-step explanation:
To determine the number of tablets needed per day, we need to calculate the total dose of Synthroid required and divide it by the dose supplied by each tablet.
First, convert the desired dose from milligrams to micrograms to match the dose supplied by the tablets. Since 1 mg = 1000 µg, the desired dose is 500 mg * 1000 µg/mg = 500,000 µg.
Next, divide the total dose by the dose supplied by each tablet. Since each tablet contains 75 µg, divide 500,000 µg by 75 µg to get the number of tablets needed per day: 500,000 µg / 75 µg = 6666.67 tablets. Since we can't have fractional tablets, the student would need to take 6667 tablets per day.