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

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Answer 1

To find the speed \( v \) that Amelia needs to travel in order to reach Mesa in approximately 7 hours, we can start with the formula:

\[ d = vt \]

where:

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

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

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

Now we have \( v \) expressed in terms of \( d \) and \( t \).

For Amelia's trip:

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

Using this, we can find the speed:

\[ v = \frac{388 \text{ miles}}{7 \text{ hours}} \approx 55.43 \text{ miles per hour} \]

Thus, to make the trip in approximately 7 hours, she needs to travel at an average speed of about 55.43 miles per hour.