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 to reach Mesa in approximately 7 hours, we can start with the formula:

\[ d = vt \]

Here, \( d \) represents the distance, \( v \) represents the speed, and \( t \) represents the time.

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

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

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

Now we can substitute the values for \( d \) and \( t \):

• \( d = 388 \) miles
• \( t = 7 \) hours

So the final formula for her speed will be:

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

Thus, the rearranged formula to highlight the quantity of interest is:

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