The Research and Development Department of an Automobile Manufacturer Has $R ( x ) = \frac { 5 } { 2 } x$

question 43

Multiple Choice

The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident,the distance (in feet) the car travels during the driver's reaction time is given by $R ( x ) = \frac { 5 } { 2 } x$ ,where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by $B ( x ) = \frac { 1 } { 11 } x ^ { 2 }$ .Find the function that represents the total stopping distance T. ​

• A) \(T = - \frac { 5 } { 2 } x + \frac { 1 } { 11 } x ^ { 2 }\)
• B) \(T = \frac { 5 } { 2 } x - \frac { 1 } { 11 } x ^ { 2 }\)
• C) \(T = \frac { 5 } { 2 } x ^ { 2 } + \frac { 1 } { 11 } x ^ { 2 }\)
• D) \(T = - \frac { 5 } { 2 } x - \frac { 1 } { 11 } x ^ { 2 }\)
• E) \(T = \frac { 5 } { 2 } x + \frac { 1 } { 11 } x ^ { 2 }\)

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Definitions:

Effective Income Tax Rate

The average percentage of their total income that individuals or corporations pay in taxes, reflecting the actual rate of taxation rather than the nominal tax rate.

Statutory Income Tax Rate

The prescribed rate by law that a company or individual pays on income, differing by country and sometimes by income level or source.

Tax Jurisdiction

The legal authority granted to a government entity to impose taxes on individuals, businesses, or transactions within a defined geographical area.

Permanent Differences

These are differences between taxable income and accounting income that originate in one period and do not reverse subsequently.