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

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

Answer 1

To analyze the scenario, let's consider each phase of the item's motion:

1. Lifting with Elevator (Constant Speed): When the item is being lifted by the elevator at a constant speed to a height of 10 feet, this can be described by a linear function. The height increases steadily over time.

2. Item Not Moving (at 10 Feet): Once the item reaches the height of 10 feet and does not move for five seconds, this can be described by a constant function. The height remains constant at 10 feet during this time.

3. Item Catapults Off (Falling): When the item catapults off the platform and falls to the ground, its height as a function of time can be described by a quadratic function. The height will decrease in a parabolic pattern due to the effects of gravity, following a curve as it falls downwards until it reaches the ground.

Putting this all together, the correct order of functions to describe the scenario is:

• Linear Function (lifting up)
• Constant Function (waiting at 10 feet)
• Quadratic Function (falling down)

Thus, the correct answer is:

Linear Function, Constant Function, Quadratic Function.