Question

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%0D%0A𝑑%0D%0A=%0D%0A𝑣%0D%0A𝑡%0D%0A , rearrange the formula to highlight the quantity of interest.(1 point)v=

Answer 1

To determine the speed (v) Amelia needs to travel in order to make the trip from Los Angeles to Mesa in approximately 7 hours, we can rearrange the formula \( d = vt \) to solve for speed (v).

Starting with the formula:

\[ d = vt \]

To isolate \( v \), we can divide both sides of the equation by \( t \):

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

Now, we can substitute the known values into this formula. The distance \( d \) is 388 miles, and the time \( t \) is 7 hours.

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

Calculating this gives:

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

So, the answer is:

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