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Answer :
Final answer:
Using direct variation, it takes 14 hours to pick 84 pounds of pears, given that 54 pounds are picked in 9 hours.
Explanation:
The student's question involves direct variation, which is a concept in mathematics where one variable changes in proportion to another. In this case, the amount of pears picked varies directly with the number of hours worked. Given that 54 pounds of pears are picked after 9 hours, we can set up a proportion to find out how many hours it would take to pick 84 pounds.
We know that:
- 9 hours / 54 pounds = x hours / 84 pounds
To solve for x, we cross-multiply and divide:
9/54 = x/84
54x = 9 * 84
54x = 756
x = 756 / 54
x = 14
Therefore, it takes 14 hours to pick 84 pounds of pears.
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