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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.