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April 20, 2014

April 20, 2014

Posted by **SC** on Tuesday, November 3, 2009 at 8:48pm.

Find the Formula for w(t)

My work so far:

n=y(not)

t=0

y=1.60

1.60=nb^0

n=1.6

t=8

y=2.30

2.30=1.60b^8

b=1.04640783

the final answer is suppose to be

y=1.113(1.04640783)^t

but i don't know how to find the 1.113

where did that come from?

- Math -
**Reiny**, Tuesday, November 3, 2009 at 9:27pmI see an error in your first calculation

1960 ---> t = 0

1968 ---> t = 8, you had t = 0

so

1.6 = a(b)^8

2.3 = a(b)^16

divide the second equation by the first

1.4375 = b^8

b = 1.0464678

then in the first

1.6 = a(1.0464678)^8

1.6 = a(1.4375)

a = 1.6/1.4375

a = 1.11304

so w(t) = 1.11304(1.0464678)^t

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