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 (\(v\)) at which Amelia needs to travel, you can rearrange the formula \(d = vt\) (where \(d\) is distance, \(v\) is speed, and \(t\) is time) to solve for \(v\).

Starting with the original formula:

\[ d = vt \]

To isolate \(v\), divide both sides by \(t\):

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

So, the formula for speed is:

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

Now, if Amelia is traveling a total distance of 388 miles and wants to travel for 7 hours, you can substitute these values into the formula:

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

Calculating that gives:

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

So, Amelia will need to travel at a speed of approximately 55.43 miles per hour to reach Mesa in about 7 hours.