Question

You are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, N, that you have left to travel after t hours. is this direct variation

Answer 1

The relation between N and t is:

N = 200 mi - 50mph*t

this is not a direct variation, as we can see, there is a constant term in the relation.

Is this a direct variation?

Remember the relation:

distance = time*speed.

Here we know that the speed of the buss is 50mph, then the relation between the number of miles, N, that you have left to travel after t hours is:

N = total distance - distance traveled in the t hours

The distance traveled in t hours is:

D = 50mph*t

And we know that the total distance is 200 miles, then:

N = 200 mi - 50mph*t

So this is not a direct variation, as we can see, there is a constant term in the relation.

If you want to learn more about direct variations:

brainly.com/question/6499629

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