Final answer:
The correct equation for the word problem is 'Hector × 4 = 64', which translates to Hector having $16 in savings after dividing both sides of the equation by 4.
Step-by-step explanation:
The student's question involves translating a word problem into a mathematical equation. In this case, the correct translation of 'The product of Hector's savings and 4 is 64' is represented algebraically as Hector × 4 = 64. This means that whatever amount Hector has saved, when multiplied by 4, gives a total of 64.
To solve for Hector's savings, we would divide both sides of the equation by 4, giving us Hector = 64 ÷ 4, which simplifies to Hector = 16. This tells us that Hector's original savings were $16.