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For the equation y = 3.5x and y = 25x + 40.50, x represent time in hours and y represents cost in dollars. Which equation is not the equation of a proportional relationship? Explain.

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  1. 30 May, 12:06
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    We are given equations y = 3.5x and y=25x + 40.50.

    Where x represent time in hours and y represents cost in dollars.

    We need to determine that which equation is not the equation of a proportional relationship?

    In first equation we have slope 3.5 and y-intercept 0.

    In second equation, we have slope 25 and y-intercept 40.50.

    In order to have a a proportional relationship, there should be y-intercept = 0.

    Therefore, y = 25x + 40.50 is not the equation of a proportional relationship.
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