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If (C(t)=220-6t) and (D(t)=150-13t), how does (C(t)-D(t)) change?

Answer and explanation

Correct answer: It increases by 7 at each step

Find the difference: \(C(t)-D(t)=(220-6t)-(150-13t)=70+7t\). Since the coefficient of \(t\) is 7, the difference increases by 7 whenever \(t\) increases by 1. Option B has the correct magnitude of rate but the wrong direction. Exam tip: when subtracting one linear expression from another, change the signs of all terms in the second expression.

Related tags

Linear PolynomialsLinear Growth And DecaySubtracting PolynomialsRate Of ChangeAlgebraic ExpressionsIntroduction To PolynomialsMathematicsClass 9 Mcq

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