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, Linear Function
Linear Function, Constant Function, Linear Function

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

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

Quadratic Function, Constant Function, Linear Function

Answer 1

To analyze the scenario step by step:

1. **Lifting by the elevator**: The item is lifted at a constant speed to a height of 10 feet. This movement describes a linear function because the height increases uniformly over time until it reaches 10 feet.

2. **Item does not move**: Once the item reaches 10 feet, it remains there for 5 seconds. This can be described as a constant function since the height remains constant (10 feet) during this period.

3. **Item catapults off the platform and falls to the ground**: The motion of the item after it is catapulted off the platform follows a parabolic path due to the effects of gravity. This is characteristic of a quadratic function.

Given this analysis, the correct order of the functions describing the scenario is:

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

Thus, the correct response is:

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