The average monthly temperature in Oklahoma varies and behaves like a sine curve. Themaximum average monthly temperature occurs in July and the minimum occurs in January. Using thetable below, construct a function model of the form T(t) = A sin(Bt − C) + D to model the averagetemperature T (measured in degrees Fahrenheit) at month t (where t = 1 is January). The table shown provides a set of data with two variables, $t$ and $T$.**Table of Values**| $t$ | 1 | 2 | 4 | 6 | 7 | 10 | 12 ||-------|----|----|----|----|----|----|----|| $T$ | 45 | 48 | 65 | 82 | 85 | 65 | 48 |**Explanation:**- The first row corresponds to the variable $t$, which represents the independent variable or the input values.- The second row corresponds to the variable $T$, which represents the dependent variable or the output values corresponding to each $t$.This data could represent a variety of relationships between the two variables and can be analyzed to understand the trend or pattern. For example, it might describe a process where the value of $T$ initially increases with $t$, peaks at a certain value, and then decreases again.

Given, The average temperature T function is of the form: T(t) = A sin(Bt − C) + D Where, T is…

Answered: The average monthly temperature in…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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The average monthly temperature in Oklahoma varies and behaves like a sine curve. The
maximum average monthly temperature occurs in July and the minimum occurs in January. Using the
table below, construct a function model of the form T(t) = A sin(Bt − C) + D to model the average
temperature T (measured in degrees Fahrenheit) at month t (where t = 1 is January).

The table shown provides a set of data with two variables, $t$ and $T$.

**Table of Values**

| $t$ | 1 | 2 | 4 | 6 | 7 | 10 | 12 |
|-------|----|----|----|----|----|----|----|
| $T$ | 45 | 48 | 65 | 82 | 85 | 65 | 48 |

**Explanation:**
- The first row corresponds to the variable $t$, which represents the independent variable or the input values.
- The second row corresponds to the variable $T$, which represents the dependent variable or the output values corresponding to each $t$.

This data could represent a variety of relationships between the two variables and can be analyzed to understand the trend or pattern. For example, it might describe a process where the value of $T$ initially increases with $t$, peaks at a certain value, and then decreases again.

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