Question
A bus is traveling at a speed of 55 miles per hour. Which statement is correct?
The number of miles the bus travels causes a change in the number of hours.
The number of hours causes a change in the number of miles the bus travels.
The number of miles, m, is the independent variable.
The number of hours, h, is the dependent variable.
The number of miles the bus travels causes a change in the number of hours.
The number of hours causes a change in the number of miles the bus travels.
The number of miles, m, is the independent variable.
The number of hours, h, is the dependent variable.
Answers
GPT-4o mini
In the context of the bus traveling at a constant speed of 55 miles per hour, let's evaluate the statements:
1. "The number of miles the bus travels causes a change in the number of hours."
- This statement is not correct. The miles traveled depend on the time spent traveling at the constant speed.
2. "The number of hours causes a change in the number of miles the bus travels."
- This statement is correct. The distance traveled (in miles) is determined by how long the bus travels (in hours) at the speed of 55 miles per hour.
3. "The number of miles, m, is the independent variable."
- This statement is not correct. The miles traveled depend on the time; hence, miles are the dependent variable.
4. "The number of hours, h, is the dependent variable."
- This statement is correct. Since the distance traveled depends on the time, the hours are the independent variable, and the miles are the dependent variable.
Given this analysis, the most accurate statements are:
- "The number of hours causes a change in the number of miles the bus travels."
- "The number of hours, h, is the independent variable."
- "The number of miles, m, is the dependent variable."
Thus, the claim that stands out as most correct is “The number of hours causes a change in the number of miles the bus travels.”
1. "The number of miles the bus travels causes a change in the number of hours."
- This statement is not correct. The miles traveled depend on the time spent traveling at the constant speed.
2. "The number of hours causes a change in the number of miles the bus travels."
- This statement is correct. The distance traveled (in miles) is determined by how long the bus travels (in hours) at the speed of 55 miles per hour.
3. "The number of miles, m, is the independent variable."
- This statement is not correct. The miles traveled depend on the time; hence, miles are the dependent variable.
4. "The number of hours, h, is the dependent variable."
- This statement is correct. Since the distance traveled depends on the time, the hours are the independent variable, and the miles are the dependent variable.
Given this analysis, the most accurate statements are:
- "The number of hours causes a change in the number of miles the bus travels."
- "The number of hours, h, is the independent variable."
- "The number of miles, m, is the dependent variable."
Thus, the claim that stands out as most correct is “The number of hours causes a change in the number of miles the bus travels.”