(a) What were the worldwide flash memory chip sales in 2002, in billions of dollars? (Round your answer to two decimal places.)
The worldwide flash memory chip sales in 2002, in billions of dollars is 8.25 billion dollars.
Since the worldwide sales of flash memory chips (in billions of dollars) is approximated by [tex]S(t) = 4.3(t + 2)^{0.94}[/tex] (0 ≤ t ≤ 6) and t = 0 corresponding to 2002, the worldwide flash memory chip sales in 2002, in billions of dollars is when t = 0.
So, substituting t = 0 into S(t), we have
[tex]S(t) = 4.3(t + 2)^{0.94}[/tex]
[tex]S(t) = 4.3(0 + 2)^{0.94}\\S(t) = 4.3(2)^{0.94}\\S(t) = 4.3(1.9185)\\S(t) = 8.25[/tex]
So, the worldwide flash memory chip sales in 2002, in billions of dollars is 8.25 billion dollars.
(b) What were the estimated sales for 2007, in billions of dollars? (Round your answer to two decimal places.)
The worldwide flash memory chip sales in 2007, in billions of dollars is 26.78 billion dollars.
Since the worldwide sales of flash memory chips (in billions of dollars) is approximated by [tex]S(t) = 4.3(t + 2)^{0.94}[/tex] (0 ≤ t ≤ 6) and t = 0 corresponding to 2002, the worldwide flash memory chip sales in 2007, in billions of dollars is when t = 5 (2007 - 2002 = 5 years).
So, substituting t = 5 into S(t), we have
[tex]S(t) = 4.3(t + 2)^{0.94}[/tex]
[tex]S(t) = 4.3(5 + 2)^{0.94}\\S(t) = 4.3(7)^{0.94}\\S(t) = 4.3(6.2286)\\S(t) = 26.783[/tex]
S(t) ≅ 26.78
So, the worldwide flash memory chip sales in 2007, in billions of dollars is 26.78 billion dollars.
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