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

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

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

Linear Function, Constant Function, Quadratic Function

Answer 1

To analyze the scenario provided, we can break it down into three phases:

1. **Lifting the item**: The item is lifted by an elevator at a constant speed. This creates a linear relationship with respect to time — as time increases, the height increases at a constant rate until it reaches 10 feet.

2. **Item remains at the height**: Once the item reaches the 10-foot height, it remains at that height for 5 seconds. This is characterized by a constant function, as the height does not change during this time.

3. **Item catapults off the platform**: After 5 seconds, the item catapults off the platform and falls to the ground. The height of the item as it falls is described by a quadratic function, as the height decreases in a parabolic manner due to the effects of gravity.

Based on this breakdown, the correct order of functions that describe the scenario is:

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

So the correct response is:

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