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What amount of Karate Z should be applied per acre if it contains 22.8% active ingredient and is applied at a rate of 0.03 lbs of active ingredient per acre?

  1. 0.13 lbs

  2. 0.15 lbs

  3. 0.10 lbs

  4. 0.12 lbs

The correct answer is: 0.13 lbs

To determine the correct amount of Karate Z to apply per acre, it is essential to understand how to calculate the total amount of the product needed based on its concentration of the active ingredient. The product contains 22.8% active ingredient, which means that in every pound of Karate Z, 22.8% of that weight is the active ingredient. To find out how much Karate Z is needed to achieve the desired application rate of 0.03 lbs of active ingredient per acre, the following calculation is used: 1. Divide the desired amount of active ingredient (0.03 lbs) by the percentage of active ingredient in the product (22.8%, or 0.228 as a decimal). So, the calculation would be: \[ \text{Amount of Karate Z} = \frac{0.03 \text{ lbs of active ingredient}}{0.228} \] 2. Performing the division provides: \[ \text{Amount of Karate Z} \approx 0.1316 \text{ lbs} \] Rounding this value appropriately leads to approximately 0.13 lbs of Karate Z per acre. Therefore, it is correct to apply about 0