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The graph shows the total number of miles, y, that Miranda traveled in x hours.

The total number of miles, y, Claude traveled in x hours is given by the equation y = 55x. Which statement comparing his speed and Miranda's speed is true?

Question 8 options:

Miranda's speed is greater since 0 < 55.


Miranda's speed is greater since 50 < 55


Claude's speed is greater since 55 > 0


Claude's speed is greater since 55 > 50


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Answer :

nobillionaireNobley
From the given graph, the slope of the graph represents Miranda's speed and is given by:

[tex]speed= \frac{y_2-y_1}{x_2-x_1} \\ \\ = \frac{100-50}{2-1} = \frac{50}{1} \\ \\ =50mph[/tex]

From the equation for Claude, it can be seen that the speed of Claude is 55mph

Therefore, Claude's speed is greater since 55 > 50.

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