The rate at which the risk of Down syndrome is changing is approximated by the function r(x) = 0.004641x2 – 0.3012x + 4.9 (20 sxS 45) where r(x) is measured in percentage of all births per year and x is the maternal age at deliveryt. (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 30 is 0.14% of all births. f(x) = (b) Based on this model, what is the risk of Down syndrome when the maternal age at delivery is 38 years? 41 years? (Round your answers to two decimal places.)

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Exponential Growth Model

The relation that represents an exponential function is: