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

Respuesta :

Answer:

[tex]d = 670,616,629h \ mi[/tex]

Step-by-step 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:

[tex]Speed = \frac{Distance}{Time}[/tex]

And also written as.

[tex]S = \frac{d}{h}[/tex]

Now, we write the above equation for distance.

[tex]d = S\times h[/tex] ------------(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.

[tex]d = 670,616,629h \ mi[/tex]

Therefore, direct variation equation to represents the given situation

[tex]d = 670,616,629h \ mi[/tex]