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If (A(t)=28+3t) and (B(t)=40+7t), how does (B(t)-A(t)) change?

Answer and explanation

Correct answer: It increases by 4 each step

Find the difference: \(B(t)-A(t)=(40+7t)-(28+3t)=12+4t\). The coefficient of \(t\) is 4, so the difference increases by 4 for every increase of 1 in \(t\). The value 12 is only the initial difference, not the rate of increase. Exam tip: When subtracting linear expressions, change the signs of all terms in the expression being subtracted.

Related tags

Linear PolynomialsRate Of ChangeLinear GrowthDifference Of FunctionsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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