Question

Students in a world geography class want to determine the distances between cities in Europe. The map gives all

Answer 1

Using a proportional relationship, we have that:

• a) The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$.

• 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 $y = 0.625(200) = 125$.

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:.

$y = kx$

• In which k is the constant of proportionality.

Item a:

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

$y = kx$

$5 = 8k$

$k = \frac{5}{8}$

$k = 0.625$

The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$.

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 $y = 0.625(200) = 125$.

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