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santiagohgonzales
29.12.2020 •
Mathematics
At the airport, you can change your money from
dollars into euros. The service costs $5, and for
every additional dollar you get 0.7 euros. The
equation y = 0.7+ 5 represents the relationship
between dollars (2) and euros (y). Use the graph to
answer questions about the scenario.
Solved
Show answers
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Ответ:
Step-by-step explanation:
Let y be the value in dollars and x be the number of euros.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (36 - 9)/(32 - 8)
m = 27/24 = 1.125
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 8, y = 9 and m = 1.125 into y = mx + c. It becomes
9 = 1.125 × 8 + c = 9 + c
c = 9 - 9 = 0
The equation showing the relationship is
y = 1.125x