Isolate the indicated variable in each formula. a. \( r=\frac{d}{t} \quad \) for \( t \)

To isolate \( t \) in the equation \( r = \frac{d}{t} \), you need to rearrange the formula. Start by multiplying both sides by \( t \) to get \( rt = d \). Then, divide both sides by \( r \) to find that \( t = \frac{d}{r} \). Voilà! You've isolated the variable! Now, let's look at a practical example: If you're planning a road trip and your destination is 300 miles away, and you can maintain an average speed of 60 miles per hour, you can use \( t = \frac{d}{r} \) to calculate the travel time. Plugging in \( d = 300 \) and \( r = 60 \), you get \( t = 5 \) hours. Get ready for some adventure!