Answer:
\(2\degree \:C\)
Step-by-step explanation:
The average rate of change of the function between \(x=15\) and \(x=25\) is given by the formula;
\(Average\:rate\:of\:change=\frac{f(25)-f(15)}{25-15}\)
From the table, \(f(15)=4\).
\(f(25)=-16\).
We substitute the values to obtain;
\(Average\:rate\:of\:change=\frac{4--16}{25-15}\)
This will give us,
\(Average\:rate\:of\:change=\frac{4+16}{25-15}\)
We now simplify to obtain,
\(Average\:rate\:of\:change=\frac{20}{10}=2\)
Therefore the average rate of change of the function from \(x=15\) to \(x=25\) is \(2\) degrees celsius.
