Final answer:
A person needs 146 potato plants to supply 3 potatoes per day for 365 days, as each plant yields 7.5 potatoes; therefore, the correct answer is 1,460 plants.
Step-by-step explanation:
To determine the number of potato plants needed per person to supply 3 potatoes a day for 365 days, we first calculate the total annual potato requirement. One person consumes 3 potatoes × 365 days = 1,095 potatoes per year. With each potato plant yielding 7.5 potatoes, we divide the total annual requirement by the yield per plant to find out how many plants are necessary:
1,095 potatoes per person per year ÷ 7.5 potatoes per plant = 146 plants per person.
Therefore, the correct answer is c) 1,460 plants.