To assist you with the problem, let’s break it down based on the parts given:
(a) You can plot the point (10, 16) on a graph where the x-axis represents time in minutes and the y-axis represents distance from home. To plot this point, you start at the origin (0, 0), move 10 units along the x-axis for 10 minutes, and then move up 16 units on the y-axis to indicate a distance of 16 miles from home.
(b) To answer the questions regarding Tim's stops and how many times he got closer to home, I would need the additional details of the distance chart you referenced. Specifically, the information about his distance from home at each minute would be crucial in order to determine how many minutes he stopped and how many times he got closer to home.
Regarding the calculation of speed from the 14th minute to the 18th minute, speed is calculated as:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
You would need to know the distance Tim was from home at minute 14 and minute 18. The difference in distance divided by the time interval (which is \(18 - 14 = 4\) minutes) will give you the speed in miles per hour.
If you provide the required details, I can help you with the calculations!
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