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If (y=90-5x), what is the difference between (y) at (x=2) and (y) at (x=7)?

Answer and explanation

Correct answer: 25

Substituting x=2 gives y=90-5(2)=80. Substituting x=7 gives y=90-5(7)=55. Therefore, the difference between the two y-values is 80-55=25. Here, 5 is the decrease in y for each increase of 1 in x; over an increase of 5 units in x, the total decrease is 5×5=25. Exam tip: For a linear expression, substitute both x-values and subtract the resulting values.

Related tags

Linear EquationsLinear DecayRate Of ChangeSubstitutionAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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