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A wind turbine uses the power of wind to generate electricity. The blades of the turbine make a noise that can be heard 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.$\newline$The noise level can be modeled by the function $\mathrm{S}$ given by $S(d)=a b^{d}$, where $S(d)$ is the noise level, in decibels, at a distance of $d$ meters from the turbine.$\newline$Part A$\newline$(i) Use the given data to write two equations that can be used to find the values for constants $\mathrm{a}$ and $\mathrm{b}$ in the expression for $S(d)$.$\newline$(ii) Find the values for $\mathrm{a}$ and $\mathrm{b}$.$\newline$B$\newline$$d=100$$1$$\newline$$d=100$$2$$\newline$$d=100$$3$$\newline$$d=100$$4$