The pressure of a car tire with a bent rim is 34.7l(b)/(i)n^(2) at the start of a road trip. It decreases by about 3% for each mille driven duc to a leaky seal. Estimate the air pressure of the tire after 20 miles, Round to the nearest hundredth.
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6.4.69 A tire on a car has an outside diameter of 30 in Through what angle (in radians) does the tire turn while traveling 1 mile? The tire turns radians (Round to the nearest hundredth as needed)
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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): $$ \begin{array}{cc} \boldsymbol{x} & \text { Mileage } \\ \hline 28 & 45 \\ 30 & 52 \\ \hline 32 & 55 \\ \hline 34 & 51 \\ \hline 36 & 47 \\ \hline \end{array} $$ 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. $$ \begin{array}{lcc} \boldsymbol{x} & \text { Mileage } & \boldsymbol{f} \boldsymbol{x} \boldsymbol{)} \\ \hline 28 & 45 & \\ 30 & 52 & \\ 32 & 55 & \\ 34 & 51 & \\ 36 & 47 & \end{array} $$ (B) Sketch the graph of $f$ and the mileage data in the same coordinate system. (C) Use values of the modeling function rounded to two decimal places to estimate the mileage for a tire pressure of $31 \mathrm{lbs} / \mathrm{sq}$ in. and for $35 \mathrm{lbs} / \mathrm{sq}$ in. (D) Write a brief description of the relationship between tire pressure and mileage.
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