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If (Q(t)=250-10t), (Q(4)+Q(16)) is equal to twice which (Q(k))?

Answer and explanation

Correct answer: Q(10)

Given Q(t)=250-10t, Q(4)=210 and Q(16)=90. Hence, Q(4)+Q(16)=300. Now, Q(10)=250-100=150, so 2Q(10)=2×150=300. Therefore, Q(10) is correct. For example, Q(12)=130, and twice this value is 260, not 300. Exam tip: For a linear function, the function value at the average of two inputs equals the average of the two function values.

Related tags

Linear FunctionsLinear DecayMidpoint PropertyPolynomialsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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