Susan drives her car at an average speed of s miles per hour for t hours and travels 215 miles. Which of the following equations represents this information?

Rationale

st = 215

The equation st = 215 accurately represents the relationship between speed, time, and distance, where s is the average speed in miles per hour and t is the time in hours. This equation derives from the fundamental formula for distance, which states that distance equals speed multiplied by time.

A (st = 215) CORRECT

This equation directly follows from the formula for calculating distance. By multiplying the average speed (s) by the time traveled (t), we arrive at the total distance traveled, which is given as 215 miles. Thus, this choice correctly encapsulates the relationship described in the question.

B (215 + t = s) YOUR ANSWER

This equation incorrectly suggests that the average speed is derived from adding the distance (215 miles) to the time (t). This is not how speed is calculated; speed is defined as distance divided by time, not as a sum. Therefore, this choice does not represent the information provided.

C (s/t= 215) YOUR ANSWER

This equation implies that speed divided by time equals 215, which is incorrect. The correct relationship is that distance equals speed multiplied by time (not divided). Hence, this choice misrepresents the relationship between the variables.

D (s + t = 215) YOUR ANSWER

This equation indicates that the average speed and the time add up to 215, which is not a valid expression of the relationship between speed, time, and distance. The distance cannot be represented as a sum of speed and time. Thus, this choice is also incorrect.

Conclusion

The correct equation, st = 215, effectively captures the distance traveled based on the average speed and time spent driving. This fundamental relationship illustrates how distance is dependent on both the speed of the vehicle and the duration of travel, providing a clear mathematical representation of the scenario described in the question. All other options misinterpret the relationship between these variables.

Susan drives her car at an average speed of s miles per hour for t hours and travels 215 miles. Which of the following equations represents this information?

st = 215

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