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
The relationship between speed, time, and distance can be expressed with the equation distance = speed × time. In this case, Susan's distance traveled is 215 miles, her average speed is s miles per hour, and the time she drove is t hours, leading to the equation st = 215.
This equation correctly captures the relationship between speed, time, and distance, as it directly states that the product of Susan's average speed (s) and the time (t) she traveled equals the total distance of 215 miles.
This equation incorrectly suggests that the average speed (s) is equal to the distance (215) plus time (t). This is not a valid representation of the relationship between speed, time, and distance, as speed should be calculated based on distance divided by time, not added to time.
This equation implies that the speed (s) divided by time (t) equals 215, which is incorrect. The correct formula states that distance is equal to speed multiplied by time, not speed divided by time.
This equation inaccurately suggests that the sum of speed (s) and time (t) equals the distance of 215 miles. This does not reflect the fundamental relationship between these variables, as speed and time cannot simply be added together to yield distance.
The correct representation of Susan’s journey is given by the equation st = 215, which directly follows the fundamental principle of motion that states distance equals speed multiplied by time. The other options misinterpret the relationships between speed, time, and distance, leading to incorrect equations that do not reflect the actual scenario. Understanding this relationship is crucial for solving problems related to motion effectively.
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