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Students in a world geography class want to determine the distances between cities in Europe. The map gives all
distances in kilometers. The students want to determine the number of miles between towns so that they can
compare distances with a unit of measure with which they are already familiar. The graph below shows the
relationship between a given number of kilometers and the corresponding number of miles.

Students in a world geography class want to determine the distances between cities in Europe The map gives all distances in kilometers The students want to dete class=

Respuesta :

Using a proportional relationship, we have that:

  • a) The constant of proportionality is of 0.625, hence the equation is: [tex]y = 0.625x[/tex].
  • b) The distance of two cities that are 5 miles apart is of 8 kilometers.
  • c) When they are 200 kilometers apart, we have that the distance in miles is of [tex]y = 0.625(200) = 125[/tex].

What is a proportional relationship?

  • A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:.

[tex]y = kx[/tex]

  • In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

[tex]y = kx[/tex]

[tex]5 = 8k[/tex]

[tex]k = \frac{5}{8}[/tex]

[tex]k = 0.625[/tex]

The constant of proportionality is of 0.625, hence the equation is: [tex]y = 0.625x[/tex].

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of [tex]y = 0.625(200) = 125[/tex].

You can learn more about proportional relationship at https://brainly.com/question/13550871

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