Temperatures in Town A oscillate daily between 30° F at 4am and 60° F at 4pm.The temperature in Town B is consistently 10° F colder than in Town A.What does the formula $H=-15 \cos \left(\frac{\pi}{12} t\right)+45$
represent?
A)Temperature in Town A, in terms of time where time is measured in hours from 4am.
B)Temperature in Town B, in terms of time where time is measured in hours from 4am.
C)Temperature in Town A, in terms of time where time is measured in hours from 4pm.
D)Temperature in Town B, in terms of time where time is measured in hours from 4pm.

Question

Temperatures in Town A oscillate daily between 30° F at 4am and 60° F at 4pm.The temperature in Town B is consistently 10° F colder than in Town A.What does the formula $H=-15 \cos \left(\frac{\pi}{12} t\right)+45$
 represent?
A)Temperature in Town A, in terms of time where time is measured in hours from 4am.
B)Temperature in Town B, in terms of time where time is measured in hours from 4am.
C)Temperature in Town A, in terms of time where time is measured in hours from 4pm.
D)Temperature in Town B, in terms of time where time is measured in hours from 4pm.

Quizplus · Accepted Answer

The formula $H=-15 \cos \left(\frac{\pi}{12} t\right)+45$ represents the temperature in Town A, where the temperature oscillates between 30°F and 60°F, with a midline of 45°F, and time $t$ is measured in hours from 4am.

Temperatures in Town a Oscillate Daily Between 30° F at 4am