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Question

Nitrogen fixation is the process where some plants like leguminous plants will fix nitrogen level in soil by converting the nitrogen from atmosphere into nitrate in soil. Suppose that a crop of pulses can add 25 pounds of nitrogen per square hectare in 12 weeks. After, 12 weeks the pulses are harvested and a new crop is planted. If k represents the number crop of pulses required to increase the nitrogen on a land of malnutrition soil with 160 pounds per hectare square to a healthy 335 pounds per hectare, which of the following equation best models the situation?

A
160 - 25k = 335
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B
160 + 25k = 335
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C
160 - 12k = 335
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D
160 + 12k = 335
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Solution

The correct option is B 160 + 25k = 335

Step I : Underline the key words/key facts
Nitrogen fixation is the process where some plants like leguminous plants will fix nitrogen level in soil by converting the nitrogen from atmosphere into nitrate in soil. Suppose that a crop of pulses can add 25 pounds of nitrogen per square hectare in 12 weeks. After, 12 weeks the pulses are harvested and a new crop is planted. If k represents the number crop of pulses required to increase the nitrogen on a land of malnutrition soil with 160 pounds per hectare square to a healthy 335 pounds per hectare, which of the following equation best models the situation?

Step II : Recognize the variable
Number of crops required to increase the nitrogen = k

Step III : Form the equation
Each crop can add 25 lbs. Nitrogen per hectare square
The amount of nitrogen added to the soil by k crops = 25k
This amount should be added to the initial amount of nitrogen in soil, given to be 160 lb per hectare square to reach 335 lbs. per hectare square.
Thus, we have

160 + 25k = 335

Hence, option B is the correct answer.


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