Problem

A trip's total cost for \(k~\text{riders}\) is \(C(k)=300+4k~\text{dollars}\). Form and simplify \(A(k)=C(k)/k\), state the per-rider units, distinguish \(k\ne~0\) from the positive-integer rider domain, and interpret both terms of the simplified function.

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quotient expression=A(k)=(300+4k)/k; simplified=300/k+4; output units=dollars total; algebraic restriction=k≠0; contextual domain=k∈1,2,...; interpretation=incorrectly retains total-cost units

quotient expression=A(k)=C(k)/k=(300+4k)/k; simplified=300/k+4; output units=dollars/rider; algebraic restriction=k≠0; contextual domain=k∈1,2,3,...; interpretation=4 dollars per rider plus each rider's share of300-dollar fixed cost

quotient expression=A(k)=300+4k/k; simplified=304; output units=dollars/rider; algebraic restriction=k≠0; contextual domain=k∈1,2,...; interpretation=divides only variable term, not total cost

quotient expression=A(k)=(300+4k)/k; simplified=300/k+4; output units=dollars/rider; algebraic restriction=k≠0; contextual domain=k∈...,-2,-1,1,2,...; interpretation=allows negative rider counts

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A trip's total cost for \(k~\text{riders}\) is \(C(k)=300+4k~\text{dollars}\). Form and simplify \(A(k)=C(k)/k\), state the per-rider units, distinguish \(k\ne~0\) from the positive-integer rider domain, and interpret both terms of the simplified function.

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