To answer the questions, I need to provide some context. Since I can't access the video you mentioned, I'll guide you through the analysis assuming a typical situation involving a distance-time graph.
(a) Plotting the point (10, 16):
- Locate the x-axis (Minutes) and the y-axis (Distance from home in miles).
- Find where \(x = 10\) minutes on the x-axis.
- Move up to \(y = 16\) miles and place a point there.
(b) Questions:
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Total minutes Tim stopped to rest:
- To determine how long Tim stopped, look for flat sections in the distance-time graph where the distance remains constant for a period of time. Count the total minutes in these flat sections to get the total resting time.
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How many times Tim got closer to his home:
- Review the graph for sections where the distance from home decreases. Each time the line goes downwards represents a time Tim got closer. Count how many such intervals exist.
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Speed from the 14th to the 18th minute:
- To calculate speed, you'll need the distance at both the 14th and 18th minutes.
- Speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance traveled}}{\text{Time taken}}. \]
- First, find the distance at 14 minutes and the distance at 18 minutes.
- The distance traveled is the change in distance (distance at 18 minutes - distance at 14 minutes), and the time taken is 4 minutes.
- To convert the speed to miles per hour (since there are 60 minutes in an hour), use: \[ \text{Speed in miles per hour} = \left(\frac{\text{Distance traveled}}{4 \text{ minutes}}\right) \times 15. \]
Make sure to substitute the actual distances from the graph to get the numerical answers for each part of this question.
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