The Slope Of A Nonlinear Curve The Slope Of A Nonlinear Curve Changes As You Move Along The Curve Slope Ay Ar To Calc 1 (101.66 KiB) Viewed 54 times
The Slope of a Nonlinear Curve The slope of a nonlinear curve changes as you move along the curve. Slope = Ay Ar To calculate the slope along a nonlinear curve, you draw a straight line between two points of the curve. The slope of that straight line is a measure of the average slope of the curve between these two end-points. Example: Refer to the table below and plot points A, B, C, and D on the graph. Point A Y-Variable: Number of Ice Cream X-Variable: Temperature Outside Cones Sold 0 10 50 20 70 40 80 70 B с D Instructions: On the graph below, use the "Curve" tool to draw the curve. To enter exact coordinates, single click the line, click on the key tool and enter the values of x and y. Curve 80- 70 60 50 Dependent Variable y 40- 30 20- 10- 0 0 0 10 20 30 40 50 60 70 80 Independent Variable X reset
According to the diagram above, from point A to point B, the value of y changes from 10 (y1) to 20 (y2), while the value of x changes from 0 (x1) to 50 (x2). The slope of the line between these two points is: Slope = Ay Δx == y2-yi X2-X1 = 20-10 50-0 10 50 = = 0.2 According to the diagram above, from point C to point D, the value of y changes from 40 (11) to 70 (y2), while the value of x changes from 70 (x1) to 80 (x2). What is the slope of the line between points C and D?
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