Question

An item is being lifted by an elevator at a constant speed to a height of 10 feet. The item does not move for five seconds then catapults off the 10-foot platform and back to the ground. Compare the height of the item to the time passed in seconds. Determine the correct types of functions that describes the scenario in the correct order.(1 point)
Responses

Linear Function, Constant Function, Quadratic Function
Linear Function, Constant Function, Quadratic Function

Linear Function, Constant Function, Linear Function
Linear Function, Constant Function, Linear Function

Quadratic Function, Constant Function, Linear Function
Quadratic Function, Constant Function, Linear Function

Constant Function, Quadratic Function, Linear Function

Answer 1

To analyze the scenario step by step:

1. **Lifting the item**: The elevator lifts the item to a height of 10 feet at a constant speed. This describes a linear function because the height increases steadily over time.

2. **Item at rest**: Once the item reaches the 10-foot platform, it remains at that height for five seconds. This is a constant function because the height does not change during this time; it remains at 10 feet.

3. **Item catapulting off**: When the item catapults off the platform, its height changes in a manner that can be described as a quadratic function due to the motion of projectile falling back to the ground (the path of the object will be a parabola).

Putting all these together, the correct order of functions describing the scenario is:

**Linear Function, Constant Function, Quadratic Function**.

Thus, the correct response is:
**Linear Function, Constant Function, Quadratic Function**.