To determine which representation corresponds to a decreasing speed with increasing time, we need to analyze the given scenarios and understand how speed changes with time.
### Scenario Analysis
1. Simon's Scenario:
- Simon drives faster as he enters the freeway from the entrance ramp.
- We are provided with a table of Simon's time vs. speed:
[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]
By looking at the table:
- At time 0, the speed is 0.
- At time 2, the speed has increased to 15.
- At time 4, the speed rises to 25.
- At time 6, the speed further increases to 45.
- At time 8, the speed is at its highest, 70.
Therefore, Simon's speed is increasing with time. This does not match the requirement of decreasing speed with increasing time.
2. Raphael's Scenario:
- Raphael rolls his ball downhill.
- Although the exact numerical representation of Raphael's speed is not provided, it is implied by the description that, over time, the ball’s speed will decrease. This happens due to natural deceleration forces such as friction and air resistance acting on the ball.
### Conclusion
By comparing both scenarios:
- Simon's speed increases with time.
- Raphael's speed decreases with time as he rolls his ball downhill.
Given these observations, the representation that corresponds to a decreasing speed with increasing time is Raphael's scenario.
