Question

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?
total summer rainfall (inches) | corn crop growth (%)
27 | 85
23 | 80
? | 90
19 | 75
? | 95
options: 31, 22, 26 (with 31 selected, others unselected)

Explanation:

Step1: Identify the pattern

Observe the relationship: For every +5% crop growth, rainfall increases by +4 inches.
Check pairs:

• 75% → 19 inches; 80% → 23 inches ($23-19=4$, $80-75=5$)
• 80% →23 inches; 85% →27 inches ($27-23=4$, $85-80=5$)
• 85% →27 inches; 90% →?; 95% →31 inches ($31-?=4$, $95-90=5$)

Step2: Calculate missing rainfall

Use the observed pattern: $? = 27 + 4 = 31$ inches, or $31 - 4 = 27$ confirms the sequence.

Answer:

31