Question

1. melody starts at her house and rides her bike for 10 minutes to a friend’s house. she stays at her friend’s house for 60 minutes. sketch a graph that represents this description.

Explanation:

Step1: Analyze the first segment

Melody starts at her house, so at time \( x = 0 \) minutes, her distance \( y = 0 \) miles. She rides for 10 minutes to her friend's house. During this time, her distance from her house increases linearly. So we draw a line from the point \( (0, 0) \) to \( (10, d) \), where \( d \) is the distance to her friend's house (we can assume a positive value for \( d \), say \( d = 5 \) miles for illustration, but the key is the slope is positive).

Step2: Analyze the second segment

She stays at her friend's house for 60 minutes. During this time, her time increases from 10 minutes to \( 10 + 60=70 \) minutes, but her distance from her house remains constant (equal to \( d \)). So we draw a horizontal line from \( (10, d) \) to \( (70, d) \).

Answer:

The graph should have two segments:

1. A line with a positive slope from \((0, 0)\) to \((10, d)\) (where \(d>0\), representing the ride to the friend's house).
2. A horizontal line from \((10, d)\) to \((70, d)\) (representing the time spent at the friend's house with no change in distance).

(Note: The actual value of \(d\) can be chosen appropriately, and the x - axis should be labeled with time in minutes and the y - axis with distance in miles as given in the problem.)