Question

Rhonda is traveling from New York City to Paris and is trying to decide whether to fly via Frankfurt or to get a more expensive direct flight. Given that it is 3,857 miles from New York City to Frankfurt and another 278 miles from Frankfurt to Paris, what is the range of possible values for the direct distance from New York City to Paris?

Answer 1

3579 < x < 4135

Explanation:

What is Given:

NYC to FrankFurt = 3857

FrankFurt to Paris = 278

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Soloving For:

NYC to Paris.

(x = distance for NYC to Paris)

3857 + 278 > x

(3857 + 278 = 4135)

4135 > x

x + 278 > 3857

-278 -278

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x > 3579

(You need to subtract 278 from both sides to cancel them out)

x + 3857 > 278

-3857 -3857

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x > -3579

(Because this is a negative number, this this not really useful in helping us find the distance range.)

So the range is 3579 < x < 4135

Answer 2

NYC TO FRANKFURT= 3857 NYC TO PARIS=X FRANFURT TO PARIS=278 3857+278 > X 4135 > X 278+X > 3857 X > 3857-278= 3579 3857+X > 278 X > 278-3857= -3579 3579 < DISTANCE < 4135