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If (C(t)=390-11t) and (D(t)=270-22t), how does (C(t)-D(t)) change?

Answer and explanation

Correct answer: It increases by \(11\) each step

\(C(t)-D(t)=(390-11t)-(270-22t)=120+11t\). Thus, for every increase of 1 in \(t\), the difference increases by \(11\), so option A is correct. Option B incorrectly treats the resulting rate as negative; \(-11-(-22)=+11\). Exam tip: while subtracting linear expressions, change the sign of every term in the second bracket.

Related tags

Linear PolynomialsLinear Growth And DecayRate Of ChangeSubtracting ExpressionsMathematics Class 9Introduction To PolynomialsMathematicsClass 9 Mcq

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