Final answer:
The total daily garbage production in a city with an average population of 4 7/8 million people, where each produces 2 2/9 pounds of garbage, is approximately 10 million pounds. No option exactly matches this result.
Step-by-step explanation:
The question asks us to calculate the total garbage production per day in a city with an average population of 4 7/8 million people, where each person produces 2 2/9 pounds of garbage each day. To find the total garbage produced, we multiply the population by the garbage produced per person.
To simplify the calculation, first convert the mixed numbers to improper fractions. The average population of 4 7/8 million can be expressed as (4 \u00d7 8 + 7) / 8 = 39/8 million. The average garbage produced per person is 2 2/9 pounds, which can be expressed as (2 \u00d7 9 + 2) / 9 = 20/9 pounds.
Next, multiply the fractions:
(39/8 million) \u00d7 (20/9 pounds) = (39 \u00d7 20) / (8 \u00d7 9) = 780 / 72 = 10 12/72 million pounds of garbage per day. After simplifying, we get 10 1/6 million pounds or approximately 10 million pounds, which is not one of the options provided.
Since none of the provided options match our calculation, we may need to reassess our figures or consider round-off errors in the options given. However, given the calculations presented without rounding, the precise answer is approximately 10 million pounds of garbage per day.