Let's understand the given question and the data presented in the table.
We have two scenarios:
1. Simon drives faster as he enters the freeway from the entrance ramp.
2. Raphael rolls his ball downhill.
To identify the representation corresponding to decreasing speed with increasing time, we should compare it with the given tabular data.
From 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]
### Analyzing the Table
Looking at the tabular data, we notice the following:
1. As time increases from 0 to 8 seconds, the speed consistently increases.
2. The speed values are 0, 15, 25, 45, and 70 m/s respectively.
### Implications
A representation showing speed decreasing with increasing time would show the speed values reducing as time progresses, indicating that an object is slowing down over time.
### Conclusion
From the provided data:
- Time 0 sec: Speed 0 m/s
- Time 2 sec: Speed 15 m/s
- Time 4 sec: Speed 25 m/s
- Time 6 sec: Speed 45 m/s
- Time 8 sec: Speed 70 m/s
Clearly, the speed is increasing with increasing time. Therefore, this data corresponds to a scenario where an object's speed is increasing over time, such as Simon driving faster as he enters the freeway.
For Raphael rolling his ball downhill, we would expect the ball's speed to increase, but since we need a representation corresponding to decreasing speed with increasing time, this data does not fit that requirement.
Thus, there is no match in the tabular data corresponding to decreasing speed with increasing time. The given table illustrates a scenario of increasing speed with increasing time.
