Question

Wind farms are a source of renewable energy found around the world. The power P(in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v(in meters per second). If a turbine generate 500kW in a 10m/s wind, how much power does it generate in a 12m/s wind?

Answer 1

so for direct variation

P = kv

k is the constant of variation

to find k substitute P = 500 and v = 10

when you get the value use the value of k to find P when v is 12

hope it helps