The following graph shows the approximate number f'(t) of doctoral degrees per year awarded to women in the United States during 2005-2013. (t = 0 represents the start of 2005, and each unit of the y-axis represents 10,000 degrees.) t f'(1) 3.5 2.5 2 1.5 1 0.5 1 2 3 4 6. 8 Use the graph to estimate the total number of doctoral degrees awarded to women from the start of 2005 to the start of 2012. 172500 x doctoral degrees

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: