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

Question

, rearrange the formula to highlight the quantity of interest.(1 point)

Answer 1

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

\[ d = vt \]

Where:

• \( d \) is the distance (388 miles)
• \( v \) is the speed in miles per hour (the quantity of interest)
• \( t \) is the time in hours (7 hours)

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

1. Divide both sides of the equation by \( t \):

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

Now, we have the formula rearranged to highlight the quantity of interest, which is the speed \( v \):

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

This means the speed is equal to the distance divided by the time required.