Question
5. Elanor is driving below the speed limit on a highway. a. Write the inequality to show how much faster Elanor can drive without going over the speed limit.
Ask by Hilton Rodriquez. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Elanor can drive up to the speed limit by ensuring her speed is less than the speed limit. The inequality is \( s < L \), where \( s \) is her current speed and \( L \) is the speed limit.
Solution
To express how much faster Elanor can drive without exceeding the speed limit, we need to define the variables involved:
- Let \( s \) represent Elanor's current speed.
- Let \( L \) represent the speed limit.
Since Elanor is driving below the speed limit, we can express this situation with the following inequality:
\[
s < L
\]
To show how much faster Elanor can drive without going over the speed limit, we can rearrange this inequality to express the maximum speed she can drive:
\[
L - s > 0
\]
This means that the difference between the speed limit and Elanor's current speed must be greater than zero, indicating that she can still increase her speed without exceeding the limit.
Thus, the inequality that shows how much faster Elanor can drive without going over the speed limit is:
\[
L - s > 0
\]
This indicates that Elanor can drive up to \( L \) but not exceed it.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
If the speed limit on the highway is represented by \( x \), and Elanor's current speed is \( y \), the inequality can be written as \( y < x \). This means that Elanor can drive at any speed \( y \) that is less than the maximum speed limit \( x \), allowing her to safely accelerate without breaking the law! Driving below the speed limit may be safer in some situations, such as heavy traffic or poor weather conditions. However, it can also frustrate other drivers. To find the balance, Elanor should observe the flow of traffic and increase her speed cautiously while ensuring she doesn't exceed the limit, maintaining her safety and the comfort of those around her on the road.
