Question

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 meters from the turbine, the noise level is decibels. at a distance of meters from the turbine, the noise level is decibels. the noise level can be modeled by the function given by, where is the noise level, in decibels, at a distance of meters from the turbine. question part a

(i) use the given data to write two equations that can be used to find the values for constants and in the expression for.
(ii) find the values for and .

Answer 1

To find the values for constants a and b in the expression for the noise level of a wind turbine, we can use the given data and create two equations.

Step-by-step explanation:

To find the values for constants a and b in the expression for the noise level, we can use the given data points and create two equations:

At a distance of m from the turbine, the noise level is decibels.

At a distance of m from the turbine, the noise level is decibels.

Using these two equations, we can solve for a and b.