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 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 37 years? 45 years? (Round your answers to two decimal places.) 37 years % 45 vears %

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Exponential Growth Model

The relation that represents an exponential function is: