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. (A) Complete the table below. x Mileage f(x) 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 off and the mileage data in the same coordinate system. OA. Ax) 60- Q Q Af(x) 60 Q A) Q (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 [ The mileage for the tire pressure 33 lbs/sq in. is (Round to two decimal places as needed.) 60 x Mileage 28 43 30 51 32 56 34 50 36 47 20

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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.
(A) Complete the table below.
x Mileage f(x)
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.
A.
OB.
Q
Q
60
60
60
Q
20
(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
The mileage for the tire pressure 33 lbs/sq in. is
(Round to two decimal places as needed.)
thousand miles.
Ibs/sq in.
Af(x)
C
Af(x)
60
20
x Mileage
28
43
30
51
32
56
34
50
36
47
Af(x)
20
PA
Q
Q
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 f(x) = -0.589x² + 38.1x-561. Answer parts (A) through (D) below. (A) Complete the table below. x Mileage f(x) 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. A. OB. Q Q 60 60 60 Q 20 (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 The mileage for the tire pressure 33 lbs/sq in. is (Round to two decimal places as needed.) thousand miles. Ibs/sq in. Af(x) C Af(x) 60 20 x Mileage 28 43 30 51 32 56 34 50 36 47 Af(x) 20 PA Q Q
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.
***
(A) Complete the table below.
x Mileage f(x)
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 off and the mileage data in the same coordinate system.
Af(x)
60-
Q
Af(x)
60-
Q
Q
60-
20-
(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
The mileage for the tire pressure 33 lbs/sq in. is
(Round to two decimal places as needed.)
thousand miles.
Ibs/sq in.
8
Af(x)
x Mileage
28
43
30
51
32
56
34
50
36
47
Af(x)
60-
20
20
O
Q
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 f(x) = -0.589x² + 38.1x-561. Answer parts (A) through (D) below. *** (A) Complete the table below. x Mileage f(x) 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 off and the mileage data in the same coordinate system. Af(x) 60- Q Af(x) 60- Q Q 60- 20- (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 The mileage for the tire pressure 33 lbs/sq in. is (Round to two decimal places as needed.) thousand miles. Ibs/sq in. 8 Af(x) x Mileage 28 43 30 51 32 56 34 50 36 47 Af(x) 60- 20 20 O Q
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