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

Quadratic Function, Constant Function, Linear Function
Quadratic 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

Linear Function, Constant Function, Linear Function

Answer 1

To analyze the scenario, let's break it down into three segments:

1. **Lifting the item**: While the elevator lifts the item to a height of 10 feet at a constant speed, the height increases linearly over time. This is represented by a **Linear Function**.

2. **Item at 10 feet**: Once the item reaches the height of 10 feet and remains stationary for five seconds, the height is constant during this time. This is represented by a **Constant Function**.

3. **Item catapults off the platform**: After the five seconds, the item catapults off the 10-foot platform, and its height changes over time in a quadratic manner due to acceleration from gravity (it will follow a parabolic trajectory until it hits the ground). This is represented by a **Quadratic Function**.

Putting this together, the correct order of functions that describes the scenario is:

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

So the appropriate choice is:
**Linear Function, Constant Function, Quadratic Function**