computer power has been doubling approximately every 2 years as more and smaller transistors has been integrated to build better computer chips. the number of transistors, T, in a chip has increased according to T=4500(2)^n, where n is the number of years since 1974. determine the number to transistors in a computer chip in each year.

a)1974 b)1972 c)2002

my answer
a) 1974
1974 - 1974 = 0
T=4500(2)^0
T=4500

b) 1972
1972 - 1974 = -2
T=4500(2)^-2
T=1125

c) 2002
2002 - 1974 = 28
T=4500(2)^28
T=1207959552000

is my answer correct?

4 answers

Oh my goodness, 1974 ? How old is your textbook?

Anyway, your equation does not match your description, it said it doubled every 2 years, so it should have been
T=4500(2)^(n/2)

I will do the last one:
T = 4500(2)^(28/2)
= 73 728 000

btw even though mathematically correct, the answer is no longer valid.

fix up your 2nd in the same way.
my textbook is only 10 years old.

The question my textbook clearly shows this formula (T=4500(2)^n).

The answers in my textbook are the same as the work I did.

I swear I am not lying.
I didn't accuse you of lying, I said the formula is not correct
verification of my answer:
it doubles every 2 years, so
1974 -- 4500
1976 -- 9000
1978 -- 18000
1980 -- 36000
1982 -- 72000
1984 -- 144000
1986 -- 288000
1988 -- 576000
1990 -- 1152000
1992 -- 2304000
1994 -- 4608000
1996 -- 9216000
1998 -- 18432000
2000 -- 36864000
2002 -- 73728000 <------ my answer

check your typing of the question, if you made no mistake in typing, then the book is wrong.
thanks reiny