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

ANswer this: v= __/__

1 answer

To find the speed \( v \) that Amelia needs to travel at, we can start from the formula \( d = vt \), where:

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

We want to rearrange this formula to solve for \( v \). To do this, we can divide both sides of the equation by \( t \):

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

Now, we can substitute in the values that we have:

  • \( d = 388 \) miles (the distance)
  • \( t = 7 \) hours (the time)

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

\[ v = \frac{388}{7} \]