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Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What is the approximate speed of the current if her trip takes 6 hours?

2 Answers

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Final answer:

To determine the speed of the current if Jada's kayak trip takes 6 hours, one would use the time-distance relationship; however, without the specific graph, an accurate speed cannot be calculated. She must identify the point where the time on the graph equals 6 hours and then read the corresponding current speed.

Step-by-step explanation:

The student, Jada, is planning a kayak trip and has obtained a graph showing the time it takes her to paddle 10 kilometers upstream in terms of the speed of the current, s, in kilometers per hour. The student is asked to find the approximate speed of the current if her trip takes 6 hours. To answer this question, one would typically use the relationship between speed, distance, and time, which is time = distance / speed. Given that the upstream speed of the kayak is reduced by the speed of the current, we have to subtract the current's speed from the kayak's speed in still water. If the time taken to paddle the 10 kilometers is 6 hours, this implies that the speed at which Jada paddles upstream equals 10 km divided by 6 hours, i.e., 1.67 km/h. However, without the specific graph Jada is referencing, it is not possible to make an accurate calculation. Jada needs to look at the point where the time equals 6 hours on the graph and then find the corresponding current speed, s, from the axis, to get the approximate speed of the current.

User Naner
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Final Answer:

The approximate speed of the current for Jada's trip, which takes 6 hours to paddle 10 kilometers upstream, is around 0.83 kilometers per hour.

Step-by-step explanation:

Jada's expression for the time, T(s), it takes her to paddle 10 kilometers upstream in terms of the speed of the current, s, can be interpreted from the graph. Given that the trip takes 6 hours, we can locate the point on the graph where the time value corresponds to 6 hours. By finding the corresponding value on the x-axis (representing the speed of the current), we determine the approximate speed of the current.

From the graph, we observe that when T(s) = 6 hours, the value of s on the x-axis is around 0.83 kilometers per hour. This value represents the approximate speed of the current during Jada's trip upstream, as indicated by the graph provided.

Therefore, based on the graph and the given trip duration of 6 hours to cover 10 kilometers upstream, the approximate speed of the current for Jada's kayak trip is estimated to be 0.83 kilometers per hour.

Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours-example-1
User Kporter
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