VIIIL LA Progress Check FRQ Part A - Calc Active A wind turbine uses the power of wind to generate electricity. The blades of the turbine make a noise that can be hear at a distance from the turbine. At a distance of d = 0 meters from the turbine, the noise level is 105 decibels. At a distance of d = 100 meters from the turbine, the noise level is 49 decibels. The noise level can be modeled by the function S given by S(d) = abd, where S(d) is the noise level, in decibels, at a distance of d meters from the turbine. _/1 pt. 1.) Use the given data to write two equations that can be used to find the values for constants a and b in the expression for S(d). /1 pt. 2.) Find the values for a and b. /1 pt. 3.) Use the given data to find the average rate of change of the noise level, in decibels per meter, from d = 0 to d = 100 meters. Express your answer as a decimal approximation. Show computations that lead to your answer. /1 pt. 4.) Interpret the meaning of your answer from (3) in the context of the problem. /1 pt. 5.) Use the average rate of change found in (3) to estimate the noise level, in decibels, at a distance of d = 120 meters. Show the work that leads to your answer. /1 pt. 6.) Use the model S to find the value of m such that the noise level is 20 decibels at a distance of m meters from the turbine