Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. interpret f(10)

Question

f(x) = 0.08x^3 + x^2 + x + 0.26

Answer 1

To interpret f(10), we substitute 10 for x in the function:

f(10) = 0.08(10)^3 + (10)^2 + 10 + 0.26

Simplifying:

f(10) = 0.08(1000) + 100 + 10 + 0.26
f(10) = 80 + 100 + 10 + 0.26
f(10) = 190.26

Therefore, f(10) represents the amount of power generated by the wind turbine when the wind speed is 10 meters per second. In this case, it would generate approximately 190.26 kilowatts.