Question

A cyclist travels away from their place of work. They ride for five minutes at a constant speed. The cyclist stops at the store for 10 minutes. They then continue at a constant rate for another 15 minutes before reaching their final destination. Compare their distance from work to the time traveled. What types of functions can represent each part of the cyclist’s journey in order?(1 point)
Responses

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

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

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

Quadratic Function, Constant

Answer 1

To analyze the cyclist's journey, we can break it down into three parts:

1. **First Part (5 minutes of riding at a constant speed)**:
- This segment can be represented by a **Linear Function** since the cyclist travels a constant distance over time without changing speed.

2. **Second Part (10 minutes of stopping at the store)**:
- During this time, the cyclist does not cover any distance. This can be represented by a **Constant Function**, where the distance remains the same (the initial distance from work) for the duration of the stop.

3. **Third Part (15 minutes of riding at a constant rate)**:
- Similar to the first part, this segment can also be represented by a **Linear Function** as the cyclist is again traveling distance over time at a constant speed.

Putting it all together, the best representation of the cyclist’s journey over time is:

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

Thus the correct response is:
**Linear Function, Constant Function, Linear Function**.