Answer:
Option D) 6
Step-by-step explanation:
As we know that average rate of change will be given by
![Rate = (\Delta y)/(\Delta x)](https://img.qammunity.org/2020/formulas/physics/middle-school/uz5d2d8bg2axn34ad2lz4zppvdbr53d4hx.png)
now here we know that
at x = 2 the value of y coordinate will be 4
also at x = 4 the value of y coordinate will be 16
now we know that
![Rate = (y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2020/formulas/physics/middle-school/cfkqixs35ybp4tkom89pp5k4hebx4trk8w.png)
![Rate = (16 - 4)/(4 - 2)](https://img.qammunity.org/2020/formulas/physics/middle-school/kajleu0cjjeh9ehy59kjseca9d8zqpcawz.png)
![Rate = 6](https://img.qammunity.org/2020/formulas/physics/middle-school/cn4jlkwgqryw62zqjwr2syp9ag2gk7qps7.png)
so rate of change of Y coordinate with respect to x coordinate will be 6