The distance traveled varies directly with the time spent in motion when speed is held constant.
If d represents the distance traveled and t represents time, which equation would represent this variation?
If you travel 150 miles in 4 hours, what is the constant of variation?
If you continue traveling at a constant speed, how long will it take to travel 200 miles? Round to the nearest tenth of
an hour.

We have a direct variation. Distance, D, varies directly as time, t.  

So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation. 

If D = 150 miles and t = 4 hours 

Then we have 150 = K (4) 

K = 150/4 = 37.5. The constant of variation is 37.5.  

If you keep traveling at a constant speed K = 37.5 and D = 200. We have 

200 = 37.5 * t 

t = 200/37.5 = 5.333 hours.

Step-by-step explanation:

n simple terms its / D=KT / 37.5 / 5.3

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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