The relationship between the area of the pupil of the eye and the intensity of light was analyzed by B. H. Crawford. Crawford concluded that the area of the pupil is

square millimeters when x units of light are entering the eye per unit time.

(a) Graph f(x) and f′(x) in the window [0, 6] by [-5, 20].

(b) How large is the pupil when 3 units of light are entering the eye per unit time?

(c) For what light intensity is the pupil size 11 square millimeters?

(d) When 3 units of light are entering the eye per unit time, what is the rate of change of pupil size with respect to a unit change in light intensity?

Transcribed Image Text:

f(x) = -0.4 160x +94.8 4x-0.4 + 15.8 (0 ≤ x ≤ 37)