the total summer rainfall for each of five farms across a country was compared with each farms successful…
the total summer rainfall for each of five farms across a country was compared with each farms successful percentage of corn crop in the fall season afterwards. the results followed a pattern. what was the most likely total summer rainfall for the farm that was able to grow 90% of its corn crop to completion?\n|total summer rainfall (inches)|corn crop growth (%)|\n|----|----|\n|27|85|\n|23|80|\n|?|90|\n|19|75|\n|35|95|\n22\n31\n26
Answer
Explanation:
Step1: Observe the trend
As the corn - crop growth percentage increases, the total summer rainfall seems to have a positive correlation. When the growth percentage goes from 75% to 80% (an increase of 5%), the rainfall goes from 19 inches to 23 inches (an increase of 4 inches). When it goes from 80% to 85% (an increase of 5%), the rainfall goes from 23 inches to 27 inches (an increase of 4 inches). When it goes from 85% to 95% (an increase of 10%), the rainfall goes from 27 inches to 35 inches (an increase of 8 inches).
Step2: Estimate for 90%
Since 90% is halfway between 85% and 95%, we can estimate the rainfall by taking the average of the changes. The change from 85% (27 inches) to 95% (35 inches) is 8 inches. For a 5 - percentage - point increase from 85% to 90%, the estimated increase in rainfall is $\frac{8}{2}=4$ inches. So the estimated rainfall for 90% growth is $27 + 4=31$ inches.
Answer:
31