Question

Suppose you want to determine the distance d that light travels in h hours. The speed of light is approximately 670,616,629 miles per hour. Which direct variation equation represents this situation? d = 670,616,629h h = 670,616,629d

Answer 1

`d = 670,616,629h \ mi`

Explanation:

Given:

Speed of the light = 670,616,629 mi\hr

We need to find the direct variation equation represents given situation.

Solution:

Speed is defined as the ratio of distance and time. So, the equation of the speed is as follows:

`Speed = (Distance)/(Time)`

And also written as.

`S = (d)/(h)`

Now, we write the above equation for distance.

`d = S* h` ------------(1)

Where:

d = distance travel by object.

S = speed of the object.

h = Total time taken

Substitute S = 670,616,629 mi\hr in equation 1.

`d = 670,616,629h \ mi`

Therefore, direct variation equation to represents the given situation

`d = 670,616,629h \ mi`