Mathematics

Question

Graph y=3x on the coordinate plane. Identify the unit rate from the graph.

Graph y=3x on the coordinate plane. Identify the unit rate from the graph.

2 Answer

  • Answer:

    (0,0),(1,3)  would be your cordinates and then use a ruler to draw a line threw the points.


  • Answer:

    The unit rate is 3.

    Step-by-step explanation:

    The unit rate is the slope of the line on the graph. The slope of the line on the graph will be the coefficient of x in the equation, so you don't really need to make the graph to find the unit rate.

    To make a graph useful for finding the unit rate, it is convenient to choose x-values that are 1 unit apart.

    For graphing, it is often useful to choose x=0 as a place to start. Here, that means ...

    ... y = 3·0 = 0 . . . . . one point on the graph is (x, y) = (0, 0)

    Choosing x to be 1 unit from there, we have ...

    ... y = 3·1 = 3 . . . . . another point on the graph is (x, y) = (1, 3)

    Now, we can see that a change in x of 1 unit has produced a change in y of 3 units. The unit rate is ...

    ... unit rate = slope = (change in y)/(change in x) = 3/1 = 3

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