AnswersCommon Core Algebra II - MA3111 B-ICAbsolute Value Functions

Piecewise Defined Functions Answers

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21
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A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges. If someone drives their rental car 150 miles, how much will they owe the rental company?

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A
$37.50
B
$77.50
C
$67.00
D
$27.00
22
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Which graph represents the following piecewise defined function?

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A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
open circle on parabola at x = -2
Option D
23

Question is locked

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Answer not available
24

Which rules define the function graphed below?

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A
y = x; y = 5
B
y = x + 2; y = 5
C
y = x; x = 5
D
y = x + 2; x = 5
25

The piecewise defined function f(x) is graphed below. What is the value of f(5)?

Question illustration
A
f(5) = –1
B
f(5) = 3
C
f(5) = 5
D
f(5) is undefined
26

A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%. Any money earned above $95,000 is taxed at 15%. He made $98,000 last year. Which statement below is correct? Plan A Tax Rates x $10,0005%$10,000 x $95,00010%x > $95,00015%Plan B Tax RatesAll levels of income 10%

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A
He would pay approximately $350 more under plan B.
B
He would pay approximately $1,925 more under plan B.
C
He would pay approximately $5,700 more under plan A.
D
He would pay approximately $4,900 more under plan A.
27

The graph below shows the altitude, in feet, of a model rocket t seconds after launch. During this time, the rocket experiences three distinct modes of flight. Initially, the engine accelerates the rocket upward. The rocket then coasts upward, is slowed by gravity, and eventually begins to fall. Last, a parachute opens and the rocket drifts smoothly back to the ground. When was the model rocket 600 feet above the ground?

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A
4.5 seconds
B
7 seconds
C
7 and 9.5 seconds
D
4.5 and 12 seconds
28

Which rules define the function graphed below?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

Which of the functions graphed below has a removable discontinuity?

A
Option
Option A
B
Option
Option B
C
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Option C
D
Option
Option D
30

Which graph represents the following piecewise defined function?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

The following graph represents dog-grooming prices at “Clean Your Paws” dog salon. If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?

Question illustration
A
$105
B
$115
C
$150
D
$160
32

A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the $20 monthly base cost. If she uses more than 300 minutes in a month, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the monthly cost, y, in dollars for making x minutes of calls?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

Question illustration
A
f(2) = –2
B
f(2) = –1
C
f(2) = 4
D
f(2) is undefined
34

The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels? “Growl” Towel Price QuoteNumber of towels orderedCost per towelFirst 20 towels$5.00Each towel over 20$3.00

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

A cab company charges according to the following rate chart. Which graph correctly represents the charge, y, in dollars for a cab ride of x miles?Cab Rates by MileMilesChargeFlag drop fee (0 miles)$5.00 miles$1.00 per mile miles$2.00 per mile for each mile over 10

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Option A
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Option B
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Option C
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Option
Option D

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