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In the model (R(t)=r-15t), (R(4)=128) and (R(s)=38). What is (s)?

Answer and explanation

Correct answer: 10

Given R(t)=r-15t, use R(4)=128 first: r-15(4)=128, so r-60=128 and r=188. Now use R(s)=38: 188-15s=38. Thus, 15s=150 and s=10. Therefore, 10 is the correct option. If 12 were used, the model would give 8, not 38. Exam tip: find the constant r from one condition before substituting the second condition.

Related tags

Linear DecayLinear EquationsSubstitutionPolynomialsAlgebraic ModellingLinear Growth And DecayIntroduction To PolynomialsMathematics

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