Tire 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 = − 0.518 x 2 + 33.3 x − 481 (A) Complete the following table. Round values of f x to one decimal place (B) Sketch the graph of f and the mileage data in the same coordinate system . (C) Use the modeling function f x to estimate the mileage for a tire pressure of 31 lbs/sq in . and for 35 lbs/sq in . Round answers to two decimal places. (D) Write a brief description of the relationship between tire pressure and mileage.
Tire 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 = − 0.518 x 2 + 33.3 x − 481 (A) Complete the following table. Round values of f x to one decimal place (B) Sketch the graph of f and the mileage data in the same coordinate system . (C) Use the modeling function f x to estimate the mileage for a tire pressure of 31 lbs/sq in . and for 35 lbs/sq in . Round answers to two decimal places. (D) Write a brief description of the relationship between tire pressure and mileage.
Tire 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
=
−
0.518
x
2
+
33.3
x
−
481
(A) Complete the following table. Round values of
f
x
to one decimal place
(B) Sketch the graph of
f
and the mileage data in the same coordinate system.
(C) Use the modeling function
f
x
to estimate the mileage for a tire pressure of
31
lbs/sq
in
.
and for
35
lbs/sq
in
.
Round answers to two decimal places.
(D) Write a brief description of the relationship between tire pressure and mileage.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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