Answer:
Step-by-step explanation:
The function representing the sales of digital cameras (in millions of units) in year t is
f(t) = 3.06t + 6.84 (0 ≤ t ≤ 3)
Also,
The function representing the sales of film cameras (in millions of units) is given by
g(t) = −1.85t + 16.48 (0 ≤ t ≤ 3)
a) where t = 0 corresponds to the end of 2001,
The number of digital cameras sold in 2001 would be
3.06 × 0 + 6.84 = 6.84 digital cameras.
The number of film cameras sold in 2001 would be
−1.85 × 0 + 16.48 = 16.48 film cameras.
Therefore, more film cameras than digital cameras were sold in 2001.
b) 3.06t + 6.84 = −1.85t + 16.48
3.06t + 1.85t = 16.48 - 6.84
4.91t = 9.64
t = 9.64/4.91 = 1.96
Therefore, the sales of digital cameras first exceed those of film cameras at t = 2 and that is in 2003.
