Question

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

Answer 1

`(6)/(\pi )` or 1.9099

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
`((3\pi )/(2),2)`

Plug those values into the slope formula:

`(2-(-1))/((3\pi )/(2)-\pi)`

You need a common denominator of pi:

`(3)/((3\pi-2\pi)/(2) )=(3)/((\pi )/(2) )`

Do the math on that to get a slope of
`(6)/(\pi ) =1.9099`