An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by x Mileage 28 43 2 f(x) = - 0.589x + 38.1x - 561. Answer parts (A) through (D) below. 30 51 32 56 34 50 36 47 ... (A) Complete the table below. x Mileage f(x) 28 43 30 51 32 56 34 50 36 47 (Round to one decimal place as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Question

18.

An automobile tire manufacturer collected the data in the table
relating tire pressure x (in pounds per square inch) and mileage (in
thousands of miles). A mathematical model for the data is given by
x Mileage
28
43
2
f(x) = - 0.589x + 38.1x - 561. Answer parts (A) through (D) below.
30
51
32
56
34
50
36
47
...
(A) Complete the table below.
x Mileage f(x)
28
43
30
51
32
56
34
50
36
47
(Round to one decimal place as needed.)
Transcribed Image Text:An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by x Mileage 28 43 2 f(x) = - 0.589x + 38.1x - 561. Answer parts (A) through (D) below. 30 51 32 56 34 50 36 47 ... (A) Complete the table below. x Mileage f(x) 28 43 30 51 32 56 34 50 36 47 (Round to one decimal place as needed.)
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Follow-up Questions
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Follow-up Question

part d please

x Mileage
An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and
mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts
(A) through (D) below.
28
43
30
51
32 56
34
36
T
X
X
20
20-
20
60
20
60
20
60
(C) Use the modeling function f(x) to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 33 lbs/sq in.
The mileage for the tire pressure 31 lbs/sq in. is 54.07
The mileage for the tire pressure 33 lbs/sq in. is 54.88
thousand miles.
thousand miles.
(Round to two decimal places as needed.)
(D) Write a brief description of the relationship between tire pressure and mileage.
A. As tire pressure increases, mileage increases to a maximum at a certain tire pressure, then begins to decrease.
B. As tire pressure increases, mileage decreases to a minimum at a certain tire pressure, then begins to increase.
C. As tire pressure increases, mileage decreases.
O D. As tire pressure increases, mileage increases.
20
20
20
50 47
X
60
Transcribed Image Text:x Mileage An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts (A) through (D) below. 28 43 30 51 32 56 34 36 T X X 20 20- 20 60 20 60 20 60 (C) Use the modeling function f(x) to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 33 lbs/sq in. The mileage for the tire pressure 31 lbs/sq in. is 54.07 The mileage for the tire pressure 33 lbs/sq in. is 54.88 thousand miles. thousand miles. (Round to two decimal places as needed.) (D) Write a brief description of the relationship between tire pressure and mileage. A. As tire pressure increases, mileage increases to a maximum at a certain tire pressure, then begins to decrease. B. As tire pressure increases, mileage decreases to a minimum at a certain tire pressure, then begins to increase. C. As tire pressure increases, mileage decreases. O D. As tire pressure increases, mileage increases. 20 20 20 50 47 X 60
Solution
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Follow-up Question

18C Please answer c

x Mileage
An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and
mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts
(A) through (D) below.
28
43
30
51
32 56
34
36
T
X
X
20
20-
20
60
20
60
20
60
(C) Use the modeling function f(x) to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 33 lbs/sq in.
The mileage for the tire pressure 31 lbs/sq in. is 54.07
The mileage for the tire pressure 33 lbs/sq in. is 54.88
thousand miles.
thousand miles.
(Round to two decimal places as needed.)
(D) Write a brief description of the relationship between tire pressure and mileage.
A. As tire pressure increases, mileage increases to a maximum at a certain tire pressure, then begins to decrease.
B. As tire pressure increases, mileage decreases to a minimum at a certain tire pressure, then begins to increase.
C. As tire pressure increases, mileage decreases.
O D. As tire pressure increases, mileage increases.
20
20
20
50 47
X
60
Transcribed Image Text:x Mileage An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts (A) through (D) below. 28 43 30 51 32 56 34 36 T X X 20 20- 20 60 20 60 20 60 (C) Use the modeling function f(x) to estimate the mileage for a tire pressure of 31 lbs/sq in. and for 33 lbs/sq in. The mileage for the tire pressure 31 lbs/sq in. is 54.07 The mileage for the tire pressure 33 lbs/sq in. is 54.88 thousand miles. thousand miles. (Round to two decimal places as needed.) (D) Write a brief description of the relationship between tire pressure and mileage. A. As tire pressure increases, mileage increases to a maximum at a certain tire pressure, then begins to decrease. B. As tire pressure increases, mileage decreases to a minimum at a certain tire pressure, then begins to increase. C. As tire pressure increases, mileage decreases. O D. As tire pressure increases, mileage increases. 20 20 20 50 47 X 60
Solution
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Follow-up Question

18 please answer the c

x Mileage
An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and
mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts
(A) through (D) below.
28
43
30
51
32
56
34
50
36
47
in my youpon VII
MEV TEHVuyu un
MIS SATTIV VUVIMID WITH
X
thousand miles.
lbs/sq in.
MIM
Af(x)
O A.
60+
60-
20+
20+
20
20
60
(C) Use the modeling function f(x) to estimate the mil
The mileage for the tire pressure 31 lbs/sq in. is
The mileage for the tire pressure 33 lbs/sq in. is
(Round to two decimal places as needed.)
B.
Af(x)
Af(x)
60+
20+
20
60
1 lbs/sq in. and for 33 lbs/sq in.
f(x)
60-
20+
20
60
Transcribed Image Text:x Mileage An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by f(x) = -0.589x² + 38.1x-561. Answer parts (A) through (D) below. 28 43 30 51 32 56 34 50 36 47 in my youpon VII MEV TEHVuyu un MIS SATTIV VUVIMID WITH X thousand miles. lbs/sq in. MIM Af(x) O A. 60+ 60- 20+ 20+ 20 20 60 (C) Use the modeling function f(x) to estimate the mil The mileage for the tire pressure 31 lbs/sq in. is The mileage for the tire pressure 33 lbs/sq in. is (Round to two decimal places as needed.) B. Af(x) Af(x) 60+ 20+ 20 60 1 lbs/sq in. and for 33 lbs/sq in. f(x) 60- 20+ 20 60
x Mileage
An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and
mileage (in thousands of miles). A mathematical model for the data is given by f(x) = − 0.589x² + 38.1x − 561. Answer parts
(A) through (D) below.
28
43
30
51
32
56
34
50
36
47
VESIMIT...
15/wan yıupııvı
Anyu unin TESTY VALTIO
A.
B.
Af(x)
60-
20+
20
20
60
thousand miles.
(C) Use the modeling function f(x) to estimate the mil
lbs/sq in.
The mileage for the tire pressure 31 lbs/sq in. is
The mileage for the tire pressure 33 lbs/sq in. is
(Round to two decimal places as needed.)
Af(x)
60+
20
MUM
Af(x)
Af(x)
60-
20-
20
60
1 lbs/sq in. and for 33 lbs/sq in.
60-
20
20
60
N
Transcribed Image Text:x Mileage An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for the data is given by f(x) = − 0.589x² + 38.1x − 561. Answer parts (A) through (D) below. 28 43 30 51 32 56 34 50 36 47 VESIMIT... 15/wan yıupııvı Anyu unin TESTY VALTIO A. B. Af(x) 60- 20+ 20 20 60 thousand miles. (C) Use the modeling function f(x) to estimate the mil lbs/sq in. The mileage for the tire pressure 31 lbs/sq in. is The mileage for the tire pressure 33 lbs/sq in. is (Round to two decimal places as needed.) Af(x) 60+ 20 MUM Af(x) Af(x) 60- 20- 20 60 1 lbs/sq in. and for 33 lbs/sq in. 60- 20 20 60 N
Solution
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Follow-up Question

18B. PLEASE ANSWER B

An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for
x Mileage
the data is given by f(x) = - 0.589x + 38.1x - 561. Answer parts (A) through (D) below.
28
43
30
51
32
56
34
50
36
47
•..
28
43
44.0
30
51
51.9
32
56
55.1
34
50
53.5
36
47
47.3
(Round to one decimal place as needed.)
(B) Sketch the graph of f and the mileage data in the same coordinate system.
O A.
В.
C.
O D.
Af(x)
60-
Af(x)
60-
Af(x)
60-
Af(x)
60-
in
X
20구
20
201
20
201
20
201
20
60
60
60
60
Transcribed Image Text:An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds per square inch) and mileage (in thousands of miles). A mathematical model for x Mileage the data is given by f(x) = - 0.589x + 38.1x - 561. Answer parts (A) through (D) below. 28 43 30 51 32 56 34 50 36 47 •.. 28 43 44.0 30 51 51.9 32 56 55.1 34 50 53.5 36 47 47.3 (Round to one decimal place as needed.) (B) Sketch the graph of f and the mileage data in the same coordinate system. O A. В. C. O D. Af(x) 60- Af(x) 60- Af(x) 60- Af(x) 60- in X 20구 20 201 20 201 20 201 20 60 60 60 60
Solution
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