Question

The following table shows the temperature T(d) in degree Fahrenheit over a period of seven days, where d represents the day

Answer 1

Given the table below:

The average rate of change of the temperature from day 1 to day 3 is expressed as

`rate\text{ of change = }(T(d)_3-T(d)_1)/(d_3-d_1)`

where

`\begin{gathered} T(d)_3=89 \\ T(d)_1=78 \\ d_3=3 \\ d_1=1 \end{gathered}`

By substitution, we have

`\begin{gathered} rate\text{ of change =}(89-78)/(3-1) \\ =(11)/(2) \\ \Rightarrow rate\text{ of change = 5.5}\degree\text{ per day} \end{gathered}`

Hence, the correct option is