What formula represents distance in relation to rate and time?

The formula that correctly represents distance in relation to rate and time is D = rate * time. This relationship is derived from the fundamental concept in physics and mathematics that distance is calculated by multiplying the speed at which an object is traveling (rate) by the amount of time it has been traveling.

For example, if a car travels at a speed of 60 miles per hour for 2 hours, the distance it covers can be calculated as follows:

Distance = Rate × Time

Distance = 60 miles/hour × 2 hours = 120 miles

This concept is crucial in various real-world applications, such as determining how far a vehicle can travel in a given time at a certain speed. Overall, it connects the three essential elements of motion—distance, rate (or speed), and time—into a coherent and practical framework.