Question

You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.

Answer 1

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

$x + 4 = \frac{3}{4}(5 + 4)$

$x = \frac{27}{4} - \frac{16}{4}$

$x = \frac{11}{4}$

x = 3.75

For the y-coordinate, we have that:

$y = \frac{3}{4}(2)$

$y = \frac{6}{4}$

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

More can be learned about proportions at brainly.com/question/24372153

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