In algebra, what does the variable 'D' represent in the formula D = rt?

In algebra, what does the variable 'D' represent in the formula D = rt?

• A. Distance
• B. Rate
• C. Time
• D. Division

Answer: (A)

In the formula \( D = rt \), the variable 'D' represents Distance. This formula shows the relationship between distance, rate, and time. Specifically, it indicates that the distance traveled is equal to the rate of speed multiplied by the time of travel. When you multiply the rate (which can be in units like miles per hour or kilometers per hour) by the time (in hours or any other consistent time unit), you obtain the total distance covered during that time period. Thus, recognizing that 'D' stands for Distance is essential in solving problems related to motion or travel in algebra. Understanding this relationship enables the application of this formula in various contexts involving speed and duration, ensuring clarity in mathematical reasoning related to distance calculations.

In the formula ( D = rt ), the variable 'D' represents Distance. This formula shows the relationship between distance, rate, and time. Specifically, it indicates that the distance traveled is equal to the rate of speed multiplied by the time of travel.

When you multiply the rate (which can be in units like miles per hour or kilometers per hour) by the time (in hours or any other consistent time unit), you obtain the total distance covered during that time period. Thus, recognizing that 'D' stands for Distance is essential in solving problems related to motion or travel in algebra. Understanding this relationship enables the application of this formula in various contexts involving speed and duration, ensuring clarity in mathematical reasoning related to distance calculations.