Question
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check the three that apply.
- The number of weeks is the output value.
- The dependent variable is the total number of paintings.
- This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
- The independent variable is represented by the output values.
- The total number of paintings depends on the number of weeks that have passed.
- The number of weeks is the output value.
- The dependent variable is the total number of paintings.
- This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
- The independent variable is represented by the output values.
- The total number of paintings depends on the number of weeks that have passed.
Answers
GPT-4o mini
The correct statements that apply to this scenario are:
1. **The dependent variable is the total number of paintings.**
This is true because the total number of paintings depends on how many weeks have passed and how many paintings Emma paints each week.
2. **This scenario is a function because for each week that passes, there will be exactly one total number of paintings.**
This is true; for each specific number of weeks, there is one corresponding total number of paintings, making this a function.
3. **The total number of paintings depends on the number of weeks that have passed.**
This is true; the total number of paintings is calculated based on the initial seven paintings plus three additional paintings for each week that passes.
The other statements are not true:
- **The number of weeks is the output value.** (False)
The number of weeks is the independent variable, while the total number of paintings is the output value.
- **The independent variable is represented by the output values.** (False)
The independent variable (the number of weeks) is not represented by the output values; rather, it is the variable that you change in the scenario to see how it affects the output (total number of paintings).
1. **The dependent variable is the total number of paintings.**
This is true because the total number of paintings depends on how many weeks have passed and how many paintings Emma paints each week.
2. **This scenario is a function because for each week that passes, there will be exactly one total number of paintings.**
This is true; for each specific number of weeks, there is one corresponding total number of paintings, making this a function.
3. **The total number of paintings depends on the number of weeks that have passed.**
This is true; the total number of paintings is calculated based on the initial seven paintings plus three additional paintings for each week that passes.
The other statements are not true:
- **The number of weeks is the output value.** (False)
The number of weeks is the independent variable, while the total number of paintings is the output value.
- **The independent variable is represented by the output values.** (False)
The independent variable (the number of weeks) is not represented by the output values; rather, it is the variable that you change in the scenario to see how it affects the output (total number of paintings).