Common Core Standard HSF-TF.B.5 Questions

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.^★

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$\ \ \ \ \ \ \ \ mathbf{"Date"} \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \mathbf{"P.I."} \ \ \ \ \ \ \$	$\ \$	$\ \ \ \ \ \ \ \ mathbf{"Date"} \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \mathbf{"P.I."} \ \ \ \ \ \ \$	$\ \$	$\ \ \ \ \ \ \ \ mathbf{"Date"} \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \mathbf{"P.I."} \ \ \ \ \ \ \$
$"Aug 1"$	$96$		$"Aug 13"$	$31$		$"Aug 25"$	$40$
$"Aug 2"$	$99$		$"Aug 14"$	$22$		$"Aug 26"$	$50$
$"Aug 3"$	$100$		$"Aug 15"$	$14$		$"Aug 27"$	$60$
$"Aug 4"$	$99$		$"Aug 16"$	$8$		$"Aug 28"$	$71$
$"Aug 5"$	$96$		$"Aug 17"$	$3$		$"Aug 29"$	$80$
$"Aug 6"$	$91$		$"Aug 18"$	$0$		$"Aug 30"$	$88$
$"Aug 7"$	$85$		$"Aug 19"$	$0$		$"Aug 31"$	$94$
$"Aug 8"$	$77$		$"Aug 20"$	$3$		$"Sept 1"$	$96$
$"Aug 9"$	$69$		$"Aug 21"$	$9$		$"Sept 2"$	$99$
$"Aug 10"$	$60$		$"Aug 22"$	$16$		$"Sept 3"$	$100$
$"Aug 11"$	$50$		$"Aug 23"$	$23$		$"Sept 4"$	$99$
$"Aug 12"$	$41$		$"Aug 24"$	$29$		$"Sept 5"$	$96$

$\ \ \ \mathbf{Month} \ \ \$	$"Jan"$	$"Feb"$	$"Mar"$	$"Apr"$	$"May"$	$"June"$	$"July"$	$"Aug"$	$"Sept"$	$"Oct"$	$"Nov"$	$"Dec"$
$\mathbf{Temp \ (°C)}$	$-15$	$-10$	$-2$	$7$	$20$	$28$	$31$	$29$	$22$	$9$	$-3$	$-10$