The Fuel Efficiency, in Miles Per Gallon, for a Certain

question 60

Multiple Choice

The fuel efficiency, in miles per gallon, for a certain midsize car at various speeds, in miles per hour, is given in the table below. $$\begin{array} { | c | c | c | c | } \hline \mathrm { mph } & \mathrm { mpg } & \mathrm { mph } & \mathrm { mpg } \\\hline 25 & 20 & 55 & 31 \\\hline 30 & 24 & 60 & 33 \\\hline 35 & 32 & 65 & 30 \\\hline 40 & 35 & 70 & 24 \\\hline 45 & 36 & 75 & 22 \\\hline 50 & 40 & & \\\hline\end{array}$$ Find a quadratic model for these data and use it to predict the fuel efficiency of this car when it is traveling at a speed of 40 mph. Do not round any values in your calculations but round the final answer to the nearest tenth.

• A)33.7 mpg
• B)35.7 mpg
• C)32.7 mpg
• D)33.9 mpg
• E)34.9 mpg

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Definitions:

Discounted Note

A type of debt instrument that is sold or redeemed for less than its face value but whose actual value matures to the full face amount at a later date.

Face Value

The nominal or original value stated on a financial instrument, such as a bond or stock certificate.

Gross Pay

The total amount of money earned by an employee before any deductions or taxes are taken out.

Deductions

Amounts subtracted from gross income to determine taxable income, including expenses, exemptions, and allowances.