Final answer:
The equation that represents the number of cards David has left at the end of any given week is n = 56 - 3w. By subtracting 3 times the number of weeks from the initial number of cards he has, we can find the number of cards he has left after a specific number of weeks.
Step-by-step explanation:
The equation that represents the number of cards David has left at the end of any given week can be written as: n = 56 - 3w
n represents the number of cards he has left, and w represents the number of weeks. Since David sells 3 cards per week, we subtract 3 times the number of weeks from the initial number of cards he has, which is 56.
For example, if we want to find the number of cards he has left after 5 weeks, we substitute w = 5 into the equation: n = 56 - 3(5) = 56 - 15 = 41