The sales of digital cameras (in millions of units) in year t is given by the function f(t) = 3.03t + 6.84 (0 ≤ t ≤ 3)

Question

The sales of digital cameras (in millions of units) in year t is given by the function

f(t) = 3.03t + 6.84      (0 ≤ t ≤ 3)

where t = 0 corresponds to the end of 2001. Over that same period, the sales of film cameras (in millions of units) is given by

g(t) = −1.75t + 16.43      (0 ≤ t ≤ 3).

(a) Show that more film cameras than digital cameras were sold in 2001.

(b) When did the sales of digital cameras first exceed those of film cameras?

Answer 1

Sa

(a) Calculate f (2001) and g (2001) and show f(2001) > g (2001)

(b) solve f(t) = g(t) for t

Mike