$($i$)$ Use the given data to find the average rate of change of the noise level, in decibels per meter, from d $=0$ tod $=100$ meters. Express your answer as a decimal approximation. Show the computations that lead to youranswer.$($ii$)$ Interpret the meaning of your answer from i$)$ in the context of the problem.iii$)$ Use the average rate of change found in i$)$ to estimate the noise level, in decibels, at a distance of d $=120$meters. Show the work that leads to your answer.