S=140(0.995)mThe given equation models the number of subscribers in thousands, S, of a newspaper m months after 2008. Which of the following equations models the number of subscribers, in thousands, of the newspaper y years after 2008 ?Choose 1 answer:(A) S=140(0.942)12y(B) S=140(0.942)12y(C) S=140(0.995)12y(D) S=140(0.995)12y
Q. S=140(0.995)mThe given equation models the number of subscribers in thousands, S, of a newspaper m months after 2008. Which of the following equations models the number of subscribers, in thousands, of the newspaper y years after 2008 ?Choose 1 answer:(A) S=140(0.942)12y(B) S=140(0.942)12y(C) S=140(0.995)12y(D) S=140(0.995)12y
Given Equation Transformation: We are given the equation S=140(0.995)m, where S is the number of subscribers in thousands and m is the number of months after 2008. We need to convert this equation to reflect the number of subscribers y years after 2008. Since there are 12 months in a year, we can express m in terms of y by the relation m=12y.
Substitution and Simplification: Substitute m=12y into the original equation to get the equation in terms of y years.S=140(0.995)12y
Option Analysis: Now we need to check the given options to see which one matches the equation we derived. Option (A) has a different base for the exponent, option (C) has the wrong exponent, and option (D) is the correct form of the equation we derived. Option (B) has the exponent 12y but with the wrong base.
Final Equation: Therefore, the correct equation that models the number of subscribers in thousands of the newspaper y years after 2008 is:S=140(0.995)(12y)
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