Compare the functions below. f(x) = 3x x f(x) 1 3 2 9 3 27 4 81 5 243 g(x) = 3x + 4 x g(x) 1 7 2 10 3 13 4 16 5 19 which statement is true? a. as x increases, the rate of change of f exceeds the rate of change of g. b. at approximately x = 2.13, the rate of change of f is equal to the rate of change of g. c. for every value of x, the rate of change of f exceeds the rate of change of g. d. as x increases, the rate of change of g exceeds the rate of change of f.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?