Ken Is 6 Feet Tall and Is Walking Away from a Streetlight

question 115

Multiple Choice

Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 4.1 feet per second. Find a function, d(t) , which gives the distance Ken is from the streetlight in terms of time. Find a function, S(d) , which gives the length of Ken's shadow in terms of d. Then find S(d) . What is the meaning of $( S \circ d ) ( t )$

• A) \(( S \circ \mathrm { d } ) ( \mathrm { t } )\) gives the time in terms of Ken's distance from the streetlight.
• B) \(( S \circ d ) ( t )\) gives the distance Ken is from the streetlight in terms of time.
• C) \(( S \circ d ) ( t )\) gives the length of Ken's shadow in terms of time.
• D) \(( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } )\) gives the length of Ken's shadow in terms of his distance from the streetlight.

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Definitions:

Savings Account

A deposit account held at a bank or other financial institution that provides a modest interest rate.

Annually

Relating to an event or occurrence that happens once every year.

Compounded Monthly

Interest calculation on a loan or investment where the interest is added to the principal each month, so that each subsequent interest calculation is on a higher amount.

Mortgage

A loan used to purchase or maintain a home, land, or other types of real estate where the borrower agrees to pay back the loan over a specified time, typically with interest.