8. \( \mathrm{d}=3.5 \mathrm{t} \)

Did you know that the equation \( d = 3.5t \) can represent a simple linear relationship between distance and time? In this case, the distance \( d \) is directly proportional to time \( t \), with a constant rate of 3.5 units per time interval. This means that for every unit of time, an object travels 3.5 units of distance—kind of like racing your friend on bikes and knowing exactly how far ahead you are getting! When working with this equation, a common mistake is failing to keep track of the units. Always make sure that your distance and time are in compatible units—like miles and hours or kilometers and minutes. It’s easy to say, “I traveled for 2 hours,” but if your speed was in kilometers per hour, you'll want to ensure your distance is calculated correctly to avoid confusion or embarrassing math fails!