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) = -0.518x² + 33.3x - 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.

Transcribed Image Text:

Mileage 28 45 30 52 32 55 34 51 36 47