the daily high temperatures of a certain city over a period of time are modeled with a sinusoidal function…

the daily high temperatures of a certain city over a period of time are modeled with a sinusoidal function in the xy - plane. the maximum daily high temperature is 80°f, and the minimum daily high temperature is 55°f. based on these temperatures, which of the following is the best value for the amplitude of the sinusoidal function?\na 12.5\nb 25\nc 40\nd 67.5

the daily high temperatures of a certain city over a period of time are modeled with a sinusoidal function in the xy - plane. the maximum daily high temperature is 80°f, and the minimum daily high temperature is 55°f. based on these temperatures, which of the following is the best value for the amplitude of the sinusoidal function?\na 12.5\nb 25\nc 40\nd 67.5

Answer

Explanation:

Step1: Recall amplitude formula

The amplitude $A$ of a sinusoidal - function is given by $A=\frac{\text{Max}-\text{Min}}{2}$, where $\text{Max}$ is the maximum value and $\text{Min}$ is the minimum value.

Step2: Identify Max and Min values

Here, $\text{Max} = 80^{\circ}F$ and $\text{Min}=55^{\circ}F$.

Step3: Calculate the amplitude

$A=\frac{80 - 55}{2}=\frac{25}{2}=12.5$.

Answer:

A. 12.5