To determine whether Simon's speed decreases over time or not, let's analyze the time-speed data given in the table:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Time} & \text{Speed} \\
\hline
0 & 0 \\
\hline
2 & 15 \\
\hline
4 & 25 \\
\hline
6 & 45 \\
\hline
8 & 70 \\
\hline
\end{array}
\][/tex]
Here, the time is in increasing order: 0, 2, 4, 6, 8.
Look at the corresponding speeds:
- At time 0, speed is 0.
- At time 2, speed is 15.
- At time 4, speed is 25.
- At time 6, speed is 45.
- At time 8, speed is 70.
Now, let's check if there is any point where Simon's speed decreases:
- From time 0 to 2, the speed increases from 0 to 15.
- From time 2 to 4, the speed increases from 15 to 25.
- From time 4 to 6, the speed increases from 25 to 45.
- From time 6 to 8, the speed increases from 45 to 70.
At each interval, Simon's speed is increasing. There is no instance where his speed decreases as time progresses. Therefore, the speed is continuously increasing over time.
Since we need to determine which representation corresponds to a decreasing speed with increasing time, and there is no decrease in Simon’s speed, we conclude that the answer is:
(False, 'Raphael')
This clearly states that Simon's speed does not decrease over time, and Raphael rolls his ball downhill where the speed could decrease with time.
