To find the average we need to add the value of the function for the given values of t and divide it by the elapsed t.
a. d=t² from t = 5 to t = 30.
[tex]\begin{gathered} d(5)=(5)^2=25_{} \\ d(30)=(30)^2=900_{} \end{gathered}[/tex][tex]\begin{gathered} d_{\text{avg}}=\frac{900-25}{30-5}=\frac{875}{25} \\ d_{\text{avg}}=35 \end{gathered}[/tex]The average of the first function on that interval is 35.