Functions and Relations Question
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Grade 11 Functions and Relations CCSS: HSF-LE.A.3
An acoustician is comparing the sound absorption properties of two new materials. The coefficient of absorption for Material M is given by [math]A_m(x) = 0.1√x[/math] (a value between 0 and 1), where x is the material thickness in inches. For Material N, the coefficient is [math]A_n(x) = 1 - (0.5)^x[/math]. For very thick applications, which material has a higher absorption coefficient?
- Both materials will approach perfect absorption (a coefficient of 1).
- Material M will have a higher absorption coefficient.
- Material N will have a higher absorption coefficient.
- The maximum absorption coefficient is identical for both.
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