Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!!
1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION)
2 A rock that is projected upward from ground level with an initial velocity of 90 feet per second. (LINEAR FUNCTION)
3.The total charges, T, of an auto mechanic and the number of hours, H, that he worked. (LINEAR FUNCTION)
4.The height of a dog jumping off a dock into a pond. (NOT A LINEAR FUNCTION)
5. The amount of water being drained from a reservoir at a rate of 200 gallons per minute (LINEAR FUNCTION)
1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION)
To determine if this is a linear function, we need to check if there is a constant rate of change. In this case, the time Jova walks is not consistent, as she stops and resumes walking. Therefore, the verbal description does not represent a linear function.
2. A rock that is projected upward from ground level with an initial velocity of 90 feet per second. (LINEAR FUNCTION)
To determine if this is a linear function, we need to check if there is a constant rate of change. In this case, since the rock is projected upward from ground level with a constant initial velocity, the height of the rock will increase linearly over time. Therefore, the verbal description represents a linear function.
3. The total charges, T, of an auto mechanic and the number of hours, H, that he worked. (LINEAR FUNCTION)
To determine if this is a linear function, we need to check if there is a constant rate of change. In this case, the total charges of the auto mechanic will depend on the number of hours he worked (a measurable input) and will likely be expressed as a linear relationship (e.g., an hourly rate). Therefore, the verbal description represents a linear function.
4. The height of a dog jumping off a dock into a pond. (NOT A LINEAR FUNCTION)
To determine if this is a linear function, we need to check if there is a constant rate of change. In this case, the height of the dog jumping off a dock into a pond will not follow a constant rate of change. It will depend on various factors such as the initial jump height, the dog's trajectory, and gravity. Therefore, the verbal description does not represent a linear function.
5. The amount of water being drained from a reservoir at a rate of 200 gallons per minute. (LINEAR FUNCTION)
To determine if this is a linear function, we need to check if there is a constant rate of change. In this case, the amount of water being drained from the reservoir is given at a constant rate of 200 gallons per minute. Therefore, the verbal description represents a linear function.