Amelia is traveling from Los Angeles, California, to Mesa, Arizona. The total distance she will drive is 388 miles. Amelia would like to get to Mesa in approximately 7 hours. She is wondering at what speed she will have to travel in order to make that happen. Using the formula d=vt , rearrange the formula to highlight the quantity of interest.(1 point)

Question

v=_/_

Answer 1

To find the speed \( v \) that Amelia needs to travel, we start with the formula for distance:

\[ d = vt \]

Where:

• \( d \) is the distance (388 miles),
• \( v \) is the speed,
• \( t \) is the time (7 hours).

To isolate \( v \), we can rearrange the formula:

\[ v = \frac{d}{t} \]

Now substituting the values:

\[ v = \frac{388 \text{ miles}}{7 \text{ hours}} \]

This shows that the quantity of interest, the speed, can be calculated as:

\[ v = \frac{d}{t} \]