Car tires need to be inflated properly. Overinflation or underinflation can cause premature treadwear. The data below show tire life for different inflation values for a certain type of tire. Pressure Tire Life (lb/in2) (mi) 26 49,000 28 67,000 31 78,000 35 81,000 38 74,000 42 70,000 45 59,000 (a) Find the quadratic polynomial that best fits the data. (Let y be the tire life in miles and x the pressure in Ib/in?. Round all numerical values to three decimal places.) y =

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astrdep=26b671333
20 000
20 000
10
20
30
b/in 250
10
20
30
49b/ in?
O-20 000
250
O-20 000
y (mi)
y (mi)
80 000
80 000
60 000
60 000
40 000
40 000
20 000
20 000
10
20
30
49b/ in50
10
20
30
49b/in50
0-20 000|
O-20 000|
(c) Use your result from part (b) to estimate the pressure that gives the longest tire life. (Round your answer to two decimal places.)
Ib/in?
Transcribed Image Text:astrdep=26b671333 20 000 20 000 10 20 30 b/in 250 10 20 30 49b/ in? O-20 000 250 O-20 000 y (mi) y (mi) 80 000 80 000 60 000 60 000 40 000 40 000 20 000 20 000 10 20 30 49b/ in50 10 20 30 49b/in50 0-20 000| O-20 000| (c) Use your result from part (b) to estimate the pressure that gives the longest tire life. (Round your answer to two decimal places.) Ib/in?
Car tires need to be inflated properly. Overinflation or underinflation can cause premature treadwear. The data below show tire life for different inflation values for a
certain type of tire.
Pressure
Tire Life
(Ib/in2)
(mi)
26
49,000
28
67,000
31
78,000
35
81,000
38
74,000
42
70,000
45
59,000
(a) Find the quadratic polynomial that best fits the data. (Let y be the tire life in miles and x the pressure in Ib/in2. Round all numerical values to three decimal
places.)
y =
(b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data.
y (mi)
y (mi)
80 000
80 00
60 000
60 000
40 000
40 000
20 000
20 000
X
X
49b/in
250
10
20
30
250
4b/ in
10
20
30
O-20 000
O-20 000|
y (mi)
y (mi)
80 000
11:51 AM
8000
C 111/2021
Transcribed Image Text:Car tires need to be inflated properly. Overinflation or underinflation can cause premature treadwear. The data below show tire life for different inflation values for a certain type of tire. Pressure Tire Life (Ib/in2) (mi) 26 49,000 28 67,000 31 78,000 35 81,000 38 74,000 42 70,000 45 59,000 (a) Find the quadratic polynomial that best fits the data. (Let y be the tire life in miles and x the pressure in Ib/in2. Round all numerical values to three decimal places.) y = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. y (mi) y (mi) 80 000 80 00 60 000 60 000 40 000 40 000 20 000 20 000 X X 49b/in 250 10 20 30 250 4b/ in 10 20 30 O-20 000 O-20 000| y (mi) y (mi) 80 000 11:51 AM 8000 C 111/2021
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