To analyze Tim's chart based on the information provided, I assume that we need to interpret the data from a distance vs. time graph.
(a)
You mentioned to plot the point (12, 18). Let's break this down:
- (12, 18) indicates that after 12 minutes, Tim was 18 miles away from home. This point would be plotted on the graph.
(b)
To answer the questions about Tim's journey, we typically need additional context from the graph (i.e., either a visual description or more detailed data points of his journey), but here is how you would generally approach these questions:
-
Total minutes Tim stopped to rest:
- Look for segments of the graph where there is a horizontal line (indicating no change in distance). The duration of these segments would add up to the total resting time.
-
How many times Tim got closer to his home:
- Determine the number of times the graph shows a downward trend (meaning the distance to home decreased). Each downward interval represents an instance when Tim got closer to home.
-
Calculating the speed from the 18th minute to the 20th minute:
- Speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance traveled}}{\text{Time taken}} \]
- If Tim's distance at the 18th minute is \( d_{18} \) and at the 20th minute is \( d_{20} \), then: \[ \text{Distance traveled} = |d_{20} - d_{18}| \]
- Since he traveled for 2 minutes (from minute 18 to minute 20), the speed would be calculated as: \[ \text{Speed} = \frac{|d_{20} - d_{18}|}{2} \]
- If you know the specific distances at those minutes, substitute those values to find speed in miles per minute.
Please provide additional data points from Tim's journey for a more specific analysis or checking answers.
3 answers