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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