Note: For question 15, your teacher will grade your responses to ensure you receive proper credit for your answers.

Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the time and distance for each student’s ride. Who rode more slowly? Justify your answer.

A coordinate graph for Rita is shown.The horizontal axis is labeled Time in minutes and is scaled from 0 to 20 by 2.
The vertical axis is labeled Distance in blocks and is scaled from 0 to 10 by 1.
There are points at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 2 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 6 comma 6 right parenthesis, and left parenthesis 8 comma 8 right parenthesis connected by line segments. A coordinate graph for Juan is shown.The horizontal axis is labeled Time in minutes and scaled from 0 to 20 by 2.
The vertical axis is labeled Distance in blocks and scaled from 0 to 10 by 1.
There are points at left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 5 comma 2 right-parenthesis, left-parenthesis 8 comma 4 right-parenthesis, left-parenthesis 12 comma 6 right-parenthesis, and left-parenthesis 17 comma 8 right-parenthesis connected by line segments.

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2 answers

Based on the graphs, it appears that Rita rode more slowly than Juan. This is because her line segments are at a shallower slope, indicating that she covered less distance in the same amount of time compared to Juan's steeper line segments. Additionally, at the 8-minute mark, Juan was at the 4-block distance mark, while Rita was only at the 2-block distance mark, further indicating that she was slower.
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