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If in (y=420-bx), (y) decreases by (152) from (x=8) to (x=16), what is (b)?

Answer and explanation

Correct answer: 19

The change in x is \(16-8=8\). In \(y=420-bx\), y decreases by b units for every 1-unit increase in x. Therefore, over 8 units, the total decrease is \(8b\). Given \(8b=152\), we get \(b=152/8=19\). If b were 18, the decrease would be \(8\times18=144\), not 152. Exam tip: divide the total change in y by the change in x to find the rate b.

Related tags

Linear EquationRate Of ChangePolynomialsAlgebraLinear DecayLinear Growth And DecayIntroduction To PolynomialsMathematics

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