Which formula represents the relationship between distance, rate, and time?

The formula that accurately represents the relationship between distance, rate, and time is D = rate x time. This formula indicates that distance (D) is equal to the speed at which an object is moving (rate) multiplied by the amount of time (time) it travels.

In practical terms, if you want to determine how far you can travel in a specific time period at a certain speed, you multiply the rate of speed by the time of travel. For example, if a car is traveling at a constant speed of 60 miles per hour for 2 hours, the distance traveled can be calculated as 60 miles/hour x 2 hours, resulting in a total distance of 120 miles.

Other formulas do not correctly define the relationship they attempt to express. For instance, dividing rate by time, or performing subtraction between rate and time, does not yield a valid relationship for calculating distance in the context of motion. Overall, understanding this formula is crucial for solving problems related to movement and speed effectively.