Question

Research reports indicate that surveillance cameras at major intersections dramatically reduce the number of drivers who barrel through red lights. The cameras automatically photograph vehicles that drive into intersections after the light turns red. Vehicle owners are then mailed citations instructing them to pay a fine or sign an affidavit that they weren't driving at the time. The function

N(t) = 5.15t³ − 18.03t² + 39.06t + 69.5    (0 ≤ t ≤ 4)

gives the number, N(t), of communities in an undetermined first-world country using surveillance cameras at intersections in year t, with t = 0 corresponding to 2003.

(a) Is N increasing or decreasing on (0, 4)?

-increasing

-decreasing     

-varies

(b) When was the number of communities using surveillance cameras at intersections changing least rapidly? (Round your answers to two decimal places.)
t =  

What is the rate of increase?

communities using a security camera/year

Answer 1