Answer:
1)
- The independent quantity is the number of movie tickets purchased, the number of eggs used, the number of students in attendance at school, the number of hours driven, and the number of minutes a swimming pool is filled with water.
- The dependent quantity is the total cost, the numbers of cakes baked, the number of lunches served, the number of miles to a vacation destination, and the number of gallons of water in the swimming pool.
2) To determine which quantity is independent and which quantity is dependent in any problem situation, you can look for cause-and-effect relationships between the two quantities. The independent quantity is the cause or input of the relationship, and the dependent quantity is the effect or output of the relationship. In other words, if changing one quantity causes a change in the other quantity, then the first quantity is independent and the second is dependent. For example, buying movie tickets causes the total cost to change, so the number of movie tickets purchased is independent and the total cost is dependent. Similarly, driving for a certain number of hours causes the number of miles to a vacation destination to change, so the number of hours driven is independent and the number of miles is dependent.
I hope this helps!