Problems Involving Linear Equations and Functions
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Race was 46.2 sec in 1920. In 1940 was 46.0 sec. Let R (t) = the record in the race and t= the number of years since 1920.
I need help finding R (t) = what by rounding to nearest hundredth
Predicted record for 2003 is ____ sec (round to nearest hundredth)
Predicted record for 2006______sec (round to nearest hundredth)
In what year will the predicted record be 45.25 sec (nearest year?)
The function w(d) = 0.112d approximate the amount, in centimeters, of water that results from d cm of snow melting.
10cm of snow melting produces _____ cm of water
24 cm of snow melting produces _____cm of water
79 cm of snow melting produces ___cm of water
1. Find an equation of the line containing given pair of points
1, 5
3,6.
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Solution Summary
The solution solves some problems involving linear equations and functions.
Solution Preview
We make a linear approximation to find the record time as a function of the year. Let Y be the year and let T be the record time. We have R(t) = mt + b for some constants m and b. We compute m as follows:
m = (R(1940) - R(1920)) / (1940 - 1920)
= -0.2/40
= -0.01.
We now compute b as follows:
b = R(1940) - 1940m
= 46.0 - (1940)(-0.01)
= ...
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