To determine which representation corresponds to a decreasing speed with increasing time, let's analyze the two given scenarios:
1. Simon drives faster as he enters the freeway from the entrance ramp.
2. Raphael rolls his ball downhill.
First, let’s consider Simon's representation:
```
\begin{tabular}{|c|c|}
\hline Time & Speed \\
\hline 0 & 0 \\
\hline 2 & 15 \\
\hline 4 & 25 \\
\hline 6 & 45 \\
\hline 8 & 70 \\
\hline
\end{tabular}
```
From the table, we observe that as time increases, Simon's speed increases as well:
- 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.
This represents an increasing speed with time, not a decreasing speed.
Next, let’s consider Raphael's scenario:
Raphael rolls his ball downhill. When an object rolls downhill, it accelerates due to gravity, meaning its speed increases over time. Thus, this also represents increasing speed with time.
From both observations, neither Simon's nor Raphael's representation corresponds to a decreasing speed with increasing time. Both scenarios describe increasing speed as time progresses.
Since neither representation corresponds to a decreasing speed with increasing time, the correct conclusion is that there is no applicable representation for decreasing speed with increasing time among the given options.
Therefore, the answer is:
```
None of the given representations correspond to decreasing speed with increasing time.
```
