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1.
Evaluate the piecewise function.
5 –10 –1
() 8 – 7 –1
x for x
fx x for x
=
Evaluate
(–10)f
2.
Choose the graph that best fits the function.
–5 + 3 4
() 9 – .5 4
x for x
fx x for x
=
A)
B)
C)
D)
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3.
Use the graph to find the value for each unknown (A, B, C, D, and E) in the function.
4.
In a typical overtime pay scheme workers are paid at a fixed hourly rate for the first 40
hours they work, and for any hours beyond 40 they are paid at 1.5 times their
hourly rate. For example, a worker who makes $16 per hour and works 45 hours, 5
of which are overtime at 1.5 x 16 = $24 per hour, will make:
(16$/hr x 40 hr) + (24 $/hr x 5 hr) = $640 + $120 = $760
Complete the function that describes the pay, P, for a worker making $10 as a
function of the hours worked, h, for up to 60 hours by finding the unknown
values (A, B, C, D, and E) in the function,
0
() A Bx for x C
fx D Ex for x C
+  
=+
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5.
Use the appropriate Tax Rate Schedule below to answer the questions.
Schedule Z-A – Use if your filing status is married filing jointly
If your taxable income is
over:
but is not over:
Then your tax owed is…
of the amount over –
0
33,950
15.0%
0
33,950
87,700
5,092.50 + 28.0%
33,950
87,700
142,000
20,142.50 + 31.0%
87,700
142,000
278,450
36,975.50 + 36.0%
142,000
278,450
……..
86,097.50 + 39.6%
278,450
Schedule Z-B – Use if your filing status is single
If your taxable income is
over:
but is not over:
Then your tax owed is…
of the amount over –
0
18,550
15.0%
0
18,550
44,900
2,782.50 + 28.0%
18,550
44,900
93,130
10,160.50 + 33.0%
44,900
A) Find the taxed owed by someone whose filing status is married filing jointly and
whose taxable income is $203,500.
B) Find how much more or less this taxpayer would pay with a flat tax of 18%. If the
18% flat tax is less enter your answer as negative.
Round answers to 2 decimal places.
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6.
Use the appropriate Tax Rate Schedule below to answer the questions.
Schedule Z-A – Use if your filing status is married filing jointly
If your taxable income is
over:
but is not over:
Then your tax owed is…
of the amount over –
0
33,950
15.0%
0
33,950
87,700
5,092.50 + 28.0%
33,950
87,700
142,000
20,142.50 + 31.0%
87,700
142,000
278,450
36,975.50 + 36.0%
142,000
278,450
……..
86,097.50 + 39.6%
278,450
Schedule Z-B – Use if your filing status is single
If your taxable income is
over:
but is not over:
Then your tax owed is…
of the amount over –
0
18,550
15.0%
0
18,550
44,900
2,782.50 + 28.0%
18,550
44,900
93,130
10,160.50 + 33.0%
44,900
A) Find the taxed owed by someone whose filing status is single and whose taxable
income is $48,000.
B) Find how much more or less this taxpayer would pay with a flat tax of 20%. If less
enter your answer as negative.
Round answers to 2 decimal places.
7.
Schiel Construction and Excavating charges a destination fee of $150 plus $80 per hour
for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8
hours, the destination fee is $125 and the hourly charge is $75. For jobs taking 8 hours
or more, the charge is simply $70 per hour. Create a peicewise function to describe the
charge for a job.
8.
Schiel Construction and Excavating charges a destination fee of $200 plus $80 per hour
for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8
hours, the destination fee is $175 and the hourly charge is $75. For jobs taking 8 hours
or more, the charge is simply $70 per hour. What the charge be for a job that takes 18
hours?
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9.
Create a piecewise function to describe the following graph.
10.
Create a graph for the piecewise function.
11.
Create a piecewise function to describe the following graph.
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12.
Create a graph for the piecewise function.
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Answer Key
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