Final answer:
To limit the amount of trash thrown out each month to less than 50,000 lbs, a household should be limited to 3280x + 1,500 lbs of trash, where x represents the number of households.
Step-by-step explanation:
d) 3280x + 1,500 ≤ 50,000.
To limit the amount of trash thrown out each month to less than 50,000 lbs, a household should be limited to 3280x + 1,500 lbs of trash, where x represents the number of households.
In option d), the expression 3280x represents the weight of trash produced by x number of households, and the term 1,500 represents a constant, possibly the weight of other types of waste. The inequality ≤ 50,000 ensures that the total weight of trash produced by the households does not exceed 50,000 lbs.