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Leah is riding a bike while Naomi is riding her skateboard, both at constant speeds. Leahs distance traveled with respect to time is represented by the equation d = 5t, where d is the distance in meters and t is the time in seconds. Naomis distance traveled with respect to time is shown in the graph. Who travels faster? A) Leah travels faster. B) Naomi travels faster. C) Leah and Naomi travel at the same speed

User Przemyslaw
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Final answer:

To determine who travels faster between Leah on a bike and Naomi on a skateboard, Leah's constant speed is 5 meters per second as per the equation d = 5t. Naomi's speed would require analysis of her distance-time graph, which is not provided. Comparing the slope of Naomi's graph to 5 will give us the answer.

Step-by-step explanation:

The student is asking about comparing the speeds of two individuals, Leah, who is riding a bike, and Naomi, who is riding a skateboard, in order to determine who travels faster. Leah's distance traveled over time is given by the linear equation d = 5t, while the details of Naomi's travel are presented in an unspecified graph. Without the graph's information, we cannot directly compare Naomi's speed to Leah's. However, Leah's speed can be understood from the given equation, which suggests that she travels at a constant speed of 5 meters per second since the distance d in meters is equal to 5 times the time t in seconds.

We can find the average speed for Naomi by analyzing her distance-time graph, assuming it's given. The slope of her distance-time graph would give us her speed. If Naomi's graph has a slope greater than 5, she would be faster than Leah, and if it's less than 5, Leah would be faster. If Naomi's graph has a slope that exactly equals 5, they would be traveling at the same speed.

User Demitri
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