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

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

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

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

Linear Function, Constant Function, Quadratic Function

Answer 1

To analyze the scenario described:

1. Lifting at a constant speed: While the elevator is lifting the item at a constant speed to a height of 10 feet, the height versus time relationship is linear. This means that the height increases linearly with time.

2. Item does not move for five seconds: Once the item reaches the 10-foot height, it stays there for 5 seconds. During this time, the height remains constant. This part of the scenario is represented by a constant function, as the height does not change despite the passage of time.

3. Item catapults off the platform: When the item is catapulted off the platform, it will follow a parabolic trajectory (the path of an object in free fall) until it reaches the ground. This situation is described by a quadratic function, as the height will decrease in a non-linear manner until it reaches the ground level.

Putting these observations in order, we have:

1. Linear Function (while being lifted)
2. Constant Function (while at the top for 5 seconds)
3. Quadratic Function (when falling to the ground)

So the correct order of functions describing the scenario is:

Linear Function, Constant Function, Quadratic Function.