Question
Sal and three friends plan to bowl one or two games each. Each game costs $2.50. Identify the independent and dependent quantities in the situation. Find reasonable domain and range values.
Answers
GPT 3.5
Independent quantity: number of games bowled
Dependent quantity: total cost
Domain (in this situation, the number of games bowled):
- Reasonable values: 1, 2, 3, 4, 5, 6 (integer values representing the number of games)
- The domain would not include negative values or fractions, as you cannot bowl a negative number of games or a fraction of a game.
Range (in this situation, the total cost):
- Reasonable values: $0, $2.50, $5.00, $7.50, $10.00, $12.50, $15.00 (as the cost would increment by $2.50 for each additional game bowled)
- The range would not include negative values, as the cost cannot be negative.
Dependent quantity: total cost
Domain (in this situation, the number of games bowled):
- Reasonable values: 1, 2, 3, 4, 5, 6 (integer values representing the number of games)
- The domain would not include negative values or fractions, as you cannot bowl a negative number of games or a fraction of a game.
Range (in this situation, the total cost):
- Reasonable values: $0, $2.50, $5.00, $7.50, $10.00, $12.50, $15.00 (as the cost would increment by $2.50 for each additional game bowled)
- The range would not include negative values, as the cost cannot be negative.