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.

Answer 1

To determine the speed Amelia needs to travel to reach Mesa in approximately 7 hours, we can start with the formula for distance:

\[ d = vt \]

Where:

• \( d \) is the distance traveled
• \( v \) is the speed
• \( t \) is the time taken

Since we want to find the speed \( v \), we can rearrange the formula to isolate \( v \):

1. Divide both sides by \( t \):

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

Now, we can substitute the known values to calculate the required speed. The distance \( d \) is 388 miles, and the time \( t \) is 7 hours.

So, we can calculate:

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

Calculating that gives:

\[ v \approx 55.43 \text{ miles per hour} \]

Amelia will need to travel at approximately 55.43 miles per hour to reach Mesa in 7 hours.