The Following Ordered Pairs Represent Temperatures in Degrees Fahrenheit Taken $1 : 00 \mathrm { pm }$

question 8

Multiple Choice

The following ordered pairs represent temperatures in degrees Fahrenheit taken each hour from $1 : 00 \mathrm { pm }$ until 5:00 pm. Let $T$ be temperature, and let $t$ be time, where $t = 1$ corresponds to $1 : 00 \mathrm { pm } , t = 2$ corresponds to $2 : 00 \mathrm { pm }$ , and so on. Plot the data. Visually find a linear model for the data and find its equation. From the visual linear model that you created, determine which of the models that follow appears to best approximate the data.
$$\left( 1 : 00 \mathrm { pm } , 67.4 ^ { \circ } \right) , \left( 2 : 00 \mathrm { pm } , 71.6 ^ { \circ } \right) , \left( 3 : 00 \mathrm { pm } , 73.4 ^ { \circ } \right) , \left( 4 : 00 \mathrm { pm } , 77.6 ^ { \circ } \right) , \left( 5 : 00 \mathrm { pm } , 79.4 ^ { \circ } \right)$$

• A) \(T = 2 t + 60\)
• B) \(T = - 2 t + 70\)
• C) \(T = - 4 t + 60\)
• D) \(T = 4 t + 70\)
• E) \(T = 3 t + 65\)

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Definitions:

Repetitive Sounds

Sounds or sequences of sound that are repeated frequently, which can be a part of language learning or music.

Babbling

An early stage in language acquisition for infants, characterized by the production of sounds or syllables that do not correspond to specific words.

Echolalia

The automatic and involuntary repetition of sounds or words spoken by others, often observed in individuals with autism and certain speech disorders.

Speech Development

The process by which children learn to communicate and express themselves through spoken language, involving a sequence of stages that typically begins with babbling and progresses to the formation of words and sentences.