Question

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) $$

Answer 1

To find the speed Amelia needs to travel to reach Mesa in the desired time, we start with the formula:

\[
d = vt
\]

where:
- \( d \) is the distance,
- \( v \) is the speed,
- \( t \) is the time.

We want to solve for \( v \). To do this, we can rearrange the formula.

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

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

Now, we have expressed speed (\( v \)) in terms of distance (\( d \)) and time (\( t \)).

Next, Amelia's specific case has a distance of 388 miles and a time of 7 hours. We can now use the rearranged formula to calculate the speed:

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

Calculating that gives:

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

So, Amelia needs to travel at approximately 55.43 miles per hour to reach Mesa in approximately 7 hours.