The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship.

The graph shows the relationship between the United States dollar and the euro the currency of the European Union in December 2011 Part B Justify why the relati class=

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Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.