To address your questions based on Tim's distance chart, let's break it down step by step:
(a) Plotting the Point
You mentioned plotting the point (12, 18) on a graph showing distance from home in miles over time in minutes. Since I can't physically plot the point for you, you would locate the x-axis (minutes) and y-axis (distance in miles) on your graph.
- Find 12 on the x-axis (minutes).
- Find 18 on the y-axis (miles).
- Plot that point where those two values meet.
(b) Total Minutes Tim Stopped to Rest
- If Tim's distance graph is horizontal (i.e., he did not change his distance from home) at certain intervals, those would indicate periods of rest.
- Review the distance values. If there are segments where the distance stays the same, add up the minutes represented by those segments to determine the total time he stopped.
How Many Times Tim Got Closer to His Home
- This can be determined by looking for moments on the graph where the distance decreases from one point to the next.
- Count each time you observe a decrease in distance on the graph.
Speed from the 18th Minute to the 20th Minute
- Speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Change in distance}}{\text{Change in time}} \]
- Assuming you have the distance values at the 18th minute and the 20th minute, use those to find the change in distance over the 2 minutes (20 - 18 = 2).
For example:
- If the distance at the 18th minute is 16 miles and at the 20th minute is 20 miles, the change in distance is: \(20 - 16 = 4\) miles.
Then the speed would be: \[ \text{Speed} = \frac{4 \text{ miles}}{2 \text{ minutes}} = 2 \text{ miles per minute}. \]
Fill in the blanks with the specific numbers once you analyze the graph.
If you have specific distance values or more details from the chart, I can help you calculate the specific answers!
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