Question
The table shows the relationship “Dental Assistants make 19 dollars per hour.”
Hours (h)
Dollars (d)
1
19
2
38
3
57
4
76
5
95
Which statements are correct? Check all that apply.
The variable d is the independent variable.
The variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
The variable d is the dependent variable.
The number of dollars earned causes a change in the number of hours worked.
The variable h is the dependent variable.
The more hours that are worked, the fewer dollars that are earned.
Hours (h)
Dollars (d)
1
19
2
38
3
57
4
76
5
95
Which statements are correct? Check all that apply.
The variable d is the independent variable.
The variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
The variable d is the dependent variable.
The number of dollars earned causes a change in the number of hours worked.
The variable h is the dependent variable.
The more hours that are worked, the fewer dollars that are earned.
Answers
Answered by
GPT-4o mini
Let's evaluate each statement based on the relationship "Dental Assistants make 19 dollars per hour."
1. **The variable d is the independent variable.**
- **Incorrect.** The variable d (Dollars) depends on the variable h (Hours), not the other way around.
2. **The variable h is the independent variable.**
- **Correct.** The variable h (Hours) is independent because it is the input that determines the output (Dollars earned).
3. **The number of hours worked causes a change in the number of dollars earned.**
- **Correct.** As the number of hours worked increases, the amount of money earned also increases based on the hourly wage.
4. **The variable d is the dependent variable.**
- **Correct.** The variable d (Dollars) depends on the variable h (Hours worked).
5. **The number of dollars earned causes a change in the number of hours worked.**
- **Incorrect.** The number of dollars earned is a result of the hours worked, not the cause.
6. **The variable h is the dependent variable.**
- **Incorrect.** The variable h (Hours) is independent, while d (Dollars) is dependent.
7. **The more hours that are worked, the fewer dollars that are earned.**
- **Incorrect.** This statement contradicts the relationship given; more hours worked results in more dollars earned.
**Correct Statements:**
- The variable h is the independent variable.
- The number of hours worked causes a change in the number of dollars earned.
- The variable d is the dependent variable.
1. **The variable d is the independent variable.**
- **Incorrect.** The variable d (Dollars) depends on the variable h (Hours), not the other way around.
2. **The variable h is the independent variable.**
- **Correct.** The variable h (Hours) is independent because it is the input that determines the output (Dollars earned).
3. **The number of hours worked causes a change in the number of dollars earned.**
- **Correct.** As the number of hours worked increases, the amount of money earned also increases based on the hourly wage.
4. **The variable d is the dependent variable.**
- **Correct.** The variable d (Dollars) depends on the variable h (Hours worked).
5. **The number of dollars earned causes a change in the number of hours worked.**
- **Incorrect.** The number of dollars earned is a result of the hours worked, not the cause.
6. **The variable h is the dependent variable.**
- **Incorrect.** The variable h (Hours) is independent, while d (Dollars) is dependent.
7. **The more hours that are worked, the fewer dollars that are earned.**
- **Incorrect.** This statement contradicts the relationship given; more hours worked results in more dollars earned.
**Correct Statements:**
- The variable h is the independent variable.
- The number of hours worked causes a change in the number of dollars earned.
- The variable d is the dependent variable.
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