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

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

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

Quadratic Function, Constant Function, Linear Function

Answer 1

To analyze the cyclist's journey, let's break it down into three parts based on their activity:

1. **Traveling away from work (first five minutes)**: The cyclist rides at a constant speed. This means the distance from work increases linearly as time progresses. This can be represented as a **Linear Function**.

2. **Stopping at the store (10 minutes)**: While the cyclist is stopped, there is no change in distance from work. Therefore, the distance remains constant during this time. This part can be represented as a **Constant Function**.

3. **Continuing to travel at a constant rate (next 15 minutes)**: Again, the cyclist is moving at a constant speed, which means the distance from work increases linearly. This can also be represented as a **Linear Function**.

Putting these parts together, the function types for each part of the cyclist's journey are:

1. Linear Function (first five minutes of travel)
2. Constant Function (10 minutes of stopping)
3. Linear Function (15 minutes of additional travel)

So, the answer is:

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