(Tell whether the 2 quantities vary together. Explain your reasoning.)
The time it takes to travel a certain distance and the rate which you travel.
Please help me!
vary inversely
t = d/v
To determine whether the two quantities vary together, we need to understand how they are related to each other. In this case, the two quantities are the time it takes to travel a certain distance and the rate at which you travel.
The relationship between time and rate is described by the formula: distance = rate × time. This is known as the distance-speed-time formula. It states that the distance traveled is equal to the rate at which you are traveling multiplied by the time it takes.
From this formula, we can see that if the rate at which you travel increases, the time it takes to travel the same distance decreases. Conversely, if the rate decreases, the time increases to cover the same distance.
Based on this relationship, we can conclude that the time it takes to travel a certain distance and the rate at which you travel are inversely related. As the rate increases, the time decreases, and as the rate decreases, the time increases. Therefore, the two quantities do not vary together.