Questions: 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. v= /

Solution Steps

To find the speed Amelia needs to travel to reach Mesa in 7 hours, we can use the formula for distance, \(d = vt\), where \(d\) is distance, \(v\) is speed, and \(t\) is time. We need to rearrange this formula to solve for \(v\), which gives us \(v = \frac{d}{t}\). We can then substitute the given values for distance and time into this formula to find the required speed.

To determine the speed \( v \) required for Amelia to travel from Los Angeles to Mesa, we use the formula for distance: \[ d = vt \] where \( d \) is the distance, \( v \) is the speed, and \( t \) is the time.

Rearranging the formula to solve for speed \( v \) gives: \[ v = \frac{d}{t} \]

Substituting the known values \( d = 388 \) miles and \( t = 7 \) hours into the equation: \[ v = \frac{388}{7} \]

Calculating the speed yields: \[ v \approx 55.4286 \text{ miles per hour} \]

Final Answer