V8 Car Engine Is Coupled to a Dynamometer and the Horsepower

question 108

Multiple Choice

V8 car engine is coupled to a dynamometer and the horsepower y is measured at different engine speeds $x$ (in thousands of revolutions per minute) . The results are shown in the table below. Use the model $y = - 1.806 x ^ { 3 } + 14.58 x ^ { 2 } + 16.4 x + 30$ to approximate the horsepower when the engine is running at 5500 revolutions per minute. Round your answer to two decimal places.
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 60 & 105 & 160 & 220 & 245 & 265 \\\hline\end{array}$

• A) \(260.77 \mathrm { hp }\)
• B) \(262.73 \mathrm { hp }\)
• C) \(262.36 \mathrm { hp }\)
• D) \(261.38 \mathrm { hp }\)
• E) \(261.91 \mathrm { hp }\)

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Definitions:

Accrued Salaries

Salaries that have been earned by employees but have not yet been paid by the company.

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The total earnings of a company after subtracting all expenses, including taxes and operational costs, from its total revenue.

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An account on a company’s balance sheet that reports the cost and accumulated depreciation of assets with a useful life of more than one year.

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Accumulated Depreciation is the total amount of depreciation expense that has been recorded for an asset over its useful life, indicating the amount of value the asset has lost over time.