Question
describe two simple scenarios: one that models a direct variation situation and one that models an inverse variation situation. provide four data pairs for each situation.
Answers
GPT 3.5
Direct Variation:
Scenario: The number of hours spent studying is directly related to the grade received on a test.
Data pairs:
1. (2 hours, 80%)
2. (4 hours, 85%)
3. (6 hours, 90%)
4. (8 hours, 95%)
Inverse Variation:
Scenario: The speed of a car is inversely related to the time it takes to travel a certain distance.
Data pairs:
1. (60 mph, 3 hours)
2. (50 mph, 3.5 hours)
3. (40 mph, 4 hours)
4. (30 mph, 5 hours)
Scenario: The number of hours spent studying is directly related to the grade received on a test.
Data pairs:
1. (2 hours, 80%)
2. (4 hours, 85%)
3. (6 hours, 90%)
4. (8 hours, 95%)
Inverse Variation:
Scenario: The speed of a car is inversely related to the time it takes to travel a certain distance.
Data pairs:
1. (60 mph, 3 hours)
2. (50 mph, 3.5 hours)
3. (40 mph, 4 hours)
4. (30 mph, 5 hours)