Risk of Down Syndrome The rate at which the risk of Down syndrome is changing is approximated by the function r ( x ) 0 0 0 4 6 4 1 x 2 0 3 0 1 2 x 4 9 ( 2 0 x 4 5 ) where r ( x ) is measured in percentage of all births per year and x is the maternal age at delivery ( a ) Find a function f giving the risk as a percentage of all births when the maternal age at delivery is x years, given that the risk of Down syndrome at age 3 0 is 0 1 4 of all births f ( x ) ( b ) Based on this model, what is the risk of Down syndrome when the maternal age at delivery is 3 6 years 3 7 years ( Round your answers to two decimal places ) 3 6 years 3 7 years

Question

Risk of Down Syndrome The rate at which the risk of Down syndrome is changing is approximated by the function r ( x )   0   0 0 4 6 4 1 x 2 0   3 0 1 2 x   4   9 ( 2 0 x 4 5 ) where r ( x ) is measured in percentage of all births per year and x is the maternal age at delivery  ( a ) Find a function f giving the risk as a percentage of all births when the maternal age at delivery is x years, given that the risk of Down syndrome at age 3 0 is 0   1 4   of all births  f ( x )   ( b ) Based on this model, what is the risk of Down syndrome when the maternal age at delivery is 3 6 years  3 7 years  ( Round your answers to two decimal places  ) 3 6 years   3 7 years

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Risk of Down Syndrome The rate at which the risk of Down syndrome is changing is approximated by the function r ( x ) =

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