Question

What is the rate of change between the interval x= pi and x= 3pi/2

Answer 1

Answer:

$\frac{6}{\pi }$ or 1.9099

Step-by-step explanation:

Look for y values at each of those given values of "x" and apply the slope formula.  When x = pi. y = -1 so the coordinate is $(\pi,-1)$.  When x = 3pi/2, y = 2 so the coordinate is $(\frac{3\pi }{2},2)$

Plug those values into the slope formula:

$\frac{2-(-1)}{\frac{3\pi }{2}-\pi}$

You need a common denominator of pi:

$\frac{3}{\frac{3\pi-2\pi}{2} }=\frac{3}{\frac{\pi }{2} }$

Do the math on that to get a slope of $\frac{6}{\pi } =1.9099$