1.4 Piecewise Functions

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MAT 117
Piecewise Functions 1.4
Name___________________
1. The table below shows the 2009 income brackets and tax rates for a single person. Draw a graph of a
piecewise function with the tax rates on the vertical scale and the income on the horizontal scale.
10%
15%
25%
28%
33%
35%
$33,951 –
$82,251 –
$171,551 –
$372,951+
$0 –$8330 $8351 – $33, 950
$82,250
$171,550
$372,950
2. The wind chill factor represents the equivalent air temperature at a standard wind speed that would
produce the same hear loss as the given temperature and wind speed. One formula for computing the
equivalent temperature is
t

10.45  10 v  4 33  t 

W  33 
22.04

33  1.595833  t 



0  v  1.79
1.79  v  20
v  20
where v represents the wind speed (in meters per second) and t represents the air temperature
Compute the wind chill for the following.
a) An air temperature of 10°C and a wind speed of 1 meter per second.
b)
An air temperature of 10°C and a wind speed of 5 meters per second.
c) An air temperature of 10°C and a wind speed of 25 meters per second.
 C .

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