Final answer:
The efficiency of the irrigation system can be calculated by dividing the amount of water used for crop ET by the net application of water.
Step-by-step explanation:
The efficiency of an irrigation system can be determined by calculating the percentage of water that is effectively used for the intended purpose. In this case, the gross application of water is 47 inches, but 9 inches runoff and are not collected for reuse. If the runoff is eliminated, the net application of water would be 47 inches minus 9 inches, which is 38 inches.
To calculate the efficiency, divide the amount of water used for the intended purpose (crop ET) by the net application of water. In this case, 31 inches is used for crop ET, so the efficiency would be 31 inches divided by 38 inches, multiplied by 100% to get the percentage. The efficiency would then be approximately 81.6%.