Back to Compare exponential and polynomial growth — Problem 1 · Task Set 57

HSF.LE.A.3 Tutor Intake — Exponential vs. Polynomial Growth

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Grade 9·10 problems·~14 min·Common Core Math - HS Functions·group·hsf-le-a-3

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Procedures

Use the table to compare $f(x) = 100x$ and $g(x) = 3^x$ .

$x$	$f(x) = 100x$	$g(x) = 3^x$
1	100	3
2	200	9
3	300	27
4	400	81
5	500	243
6	600	729

At which $x$ -value shown in the table does $g(x) = 3^x$ first
exceed $f(x) = 100x$ ?