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.
A. Linear function, constant function, linear function
B. Linear function, constant function, quadratic function
C. constant function, quadratic function, linear function
D. quadratic function, constant function, linear function
C. constant function, quadratic function, linear function
Explanation:
1. The item is being lifted by the elevator at a constant speed to a height of 10 feet, which means the height is increasing at a constant rate. This can be represented by a linear function.
2. The item does not move for five seconds at the 10-foot platform, which means the height remains constant during this time. This is represented by a constant function.
3. The item catapults off the 10-foot platform and back to the ground, which can be represented by a quadratic function as the height of the item changes with the square of time due to gravity.
4. The height of the item changes linearly as it falls back to the ground, which can be represented by a linear function.