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Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSF-TF.B.5
Author: nsharp1
Created: 4 years ago

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Grade 11 Trigonometry CCSS: HSF-TF.B.5

The following table gives the average maximum temperature each month for a small town based on historical averages. Which of the following functions best models this data, where

$T$ is measured in degrees Celsius and

$m$ in months? Let

$m=0$ be January.

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

$T(m) = -23cos(pi/12 m) + 8$
$T(m) = 23sin(pi/6 m) + 8$
$T(m) = 23cos(pi/12 m) + 8$
$T(m) = -23cos(pi/6 m) + 8$