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In the model (P(t)=p+10t), (P(4)=92) and (P(s)=152). What is (s)?

Answer and explanation

Correct answer: 10

Given P(t)=p+10t, substitute P(4)=92 first: p+10(4)=92, so p+40=92 and p=52. Now use P(s)=152: 52+10s=152. Thus 10s=100, giving s=10. If s were 9, then P(9)=52+90=142, not 152. Exam tip: In a linear model, first find the constant term from one known value, then substitute the second value to solve for the variable.

Related tags

Linear GrowthLinear ModelSolve For VariablePolynomialsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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