The graph of a function...

[kris17]

The graph is of a function R'(t) (0≤t≤10), where t=0 represents 2000. The graph shows the release rate expressed in prisoners per year from Tidewater Prison. What does the shaded area represent?

A) The average rate of release between 2002-2005.
B) ∫(5 for upper limit, 2 for lower limit) R'(t)dt
C) The number of prisoners release between 2002-2005
D) Both choices B and C.

Im almost sure its A, but not entirely.

 

[HallsofIvy]

The graph is of a function R'(t) (0≤t≤10), where t=0 represents 2000. The graph shows the release rate expressed in prisoners per year from Tidewater Prison. What does the shaded area represent?

A) The average rate of release between 2002-2005.
B) ∫(5 for upper limit, 2 for lower limit) R'(t)dt
C) The number of prisoners release between 2002-2005
D) Both choices B and C.

Im almost sure its A, but not entirely.

I'm sorry to hear that. No, it is not "A". This is NOT an "average". The values of the function are "prisoners per year". The region under[/b] the curve is very similar to a rectangle whose area is "height times width". The height is "people per year" and the width is "years". So what do you get when you multiply those?

 

[kris17]

ahh so that would be C

 

[Deleted member 4993]

ahh so that would be C

Why not D?