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- anonymous

Can someone please help me solve this: In 1920, the record for a certain race was 46.7 sec. In 1930 it was 46.5 sec. Let R(t)=the record in the race and t=the number of years since 1920. Find a linear function that fits the data(Round to the nearest hundredth)

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- anonymous

- katieb

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- anonymous

easy cake.
change in R(t) for every 10 increments of t is -.2
so -.2/10=-.02
R(t)=-.02t+46.7

- anonymous

yes this was easy

- anonymous

ok now i need to know how to figure out the predicted record for 2003

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- anonymous

and 2006

- anonymous

I think the correct answer would be 45.04 is that right?

- anonymous

hmmm? sorry was away.
2003-1920=83
2006-1920=86
plug those in to t

- anonymous

first one's right
second one's 44.98

- anonymous

ok that's what I came up with too

- anonymous

nice
medal me =D

- anonymous

ok now my next task is to figure out when the recod will be 44.76 sec

- anonymous

so R(t)=44.76
44.76=-.02t+46.7
solve for t

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