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

Question

, rearrange the formula to highlight the quantity of interest.(1 point)
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Answer 1

The formula you provided is \( d = vt \), where:

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

To highlight the quantity of interest, which is speed (\( v \)), we can rearrange the formula.

Starting with the equation: \[ d = vt \]

We can solve for \( v \) by dividing both sides of the equation by \( t \): \[ v = \frac{d}{t} \]

Now we have highlighted the quantity of interest (speed) in the rearranged formula: \[ v = \frac{d}{t} \]

In Amelia's case, she wants to calculate the speed required to travel 388 miles in approximately 7 hours. Using this rearranged formula, she would find her required speed by substituting \( d = 388 \) miles and \( t = 7 \) hours into the formula.