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)

Question

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

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

Quadratic Function, Constant Function, Linear Function

Answer 1

To analyze the scenario and determine the types of functions that describe the height of the item over time, we can break down the events as follows:

1. Lifting the Item: The item is being lifted by the elevator at a constant speed to a height of 10 feet. During this time, the height is increasing linearly with time, so this segment can be described by a linear function.

2. Item at Rest on Platform: After reaching the height of 10 feet, the item does not move for five seconds. During this time, the height remains constant at 10 feet, which can be described by a constant function.

3. Catapulting Off the Platform: When the item catapults off the platform, it will follow a projectile motion, which can be modeled by a quadratic function as it ascends and then descends due to gravity.

In summary, the overall breakdown of the height of the item over time is:

1. Linear Function - While the elevator lifts the item to 10 feet.
2. Constant Function - While the item remains at the height of 10 feet for five seconds.
3. Quadratic Function - While the item is in projectile motion after catapulting off the platform.

Based on this analysis, the correct order of functions that describes this scenario is:

Linear Function, Constant Function, Quadratic Function.